Геометрия и топология полей квантовой глюодинамики
Диссертация
Итак, конструкция погруженной HP1 модели отвечает всем требованиям для открытия инстантонной жидкости в вакууме: хорошо определенный оператор плотности топзаряда и разделение пертурбативного и непертурба-тивного вкладов в наблюдаемые. Пространственной структуре топологической плотности посвящен раздел 2.4. По-видимому, квадратичная поправка к глюонному конденсату оказывается фатальной для ILM… Читать ещё >
Список литературы
- Creutz М. Quarks, gluons and lattices. — Cambridge, Uk: Univ. Pr. (1983) 169 P. (Cambridge Monographs On Mathematical Physics).
- Montvay I., Munster G. Quantum fields on a lattice. — Cambridge, UK: Univ. Pr. (1994) 491 p. (Cambridge monographs on mathematical physics).
- Boyko P. Y., Polikarpov M. I.} Zakharov V. I. Geometry of percolating monopole clusters // Nucl. Phys. Proc. Suppl.— 2003.— Vol. 119. — Pp. 724−726.
- Geometry of the monopole clusters at different scales / V. G. Bornyakov, P. Y. Boyko, M. I. Polikarpov, V. I. Zakharov // Nucl. Phys. Proc. Suppl. — 2004. Vol. 129. — Pp. 668−670.
- Boyko P. Y. et al. Once more on the interrelation between abelian monopoles and p-vortices in su (2) lgt // Nucl. Phys. — 2006. — Vol. B756. — Pp. 71−85.
- Boyko P. Y., Gubarev F. V., Morozov S. M. SU (2) gluodynamics and HP1 sigma-model embedding: Scaling, topology and confinement // Phys. Rev. — 2006. Vol. D73. — P. 14 512.
- Boyko P. Y., Gubarev F. V. On the continuum limit of topological charge density distribution // Phys. Rev. 2006. — Vol. D73. — P. 114 506.
- Monopole clusters at short and large distances / V. G. Bornyakov, P. Y. Boyko, M. I. Polikarpov, V. I. Zakharov // Nucl. Phys. 2003.-Vol. B672. — Pp. 222−238.
- Monopoles and hybrids in Abelian projection of lattice QCD / P. Y. Boyko,
- М. N. Chernodub, А. V. Kovalenko et al. // Nucl. Phys. Proc. Suppl — 2002. Vol. 106. — Pp. 628−630.
- Boyko P. Y., Gubarev F. V.- Morozov S. M. On the structure of QCD confining string // PoS. 2007. — Vol. LAT2007. — P. 307.
- Dirac P. A. M. Quantised singularities in the electromagnetic field // Proc. Roy. Soc. bond. — 1931. Vol. A133. — Pp. 60−72.
- Dirac P. A. M. The theory of magnetic poles // Phys. Rev. — 1948.— Vol. 74. Pp. 817−830.
- Aharonov Y., В ohm D. Significance of electromagnetic potentials in the quantum theory // Phys. Rev. 1959. — Vol. 115. — Pp. 485−491.
- Абрикосов A. A. // ЖЭТФ. 1957. — Vol. 32. — P. 1442.15. !t Hooft G. — in 'High Energy Physics', Proceedings of the EPS International Conference, Palermo 1975, ed. A. Zichichi, Editrice Compositori, Bologna 1976.
- Mandelstam S. // Phys. Rep. 1976. — Vol. C23. — P. 245.
- Polyakov A. M. Compact gauge fields and the infrared catastrophe // Phys. Lett. 1975. — Vol. B59. — Pp. 82−84.
- DeGrand T. A., Toussaint D. Topological excitations and monte carlo simulation of abelian gauge theory // Phys. Rev. 1980. — Vol. D22. — P. 2478.
- Polyakov A. M. Particle spectrum in quantum field theory // JETP Lett. — 1974. Vol. 20. — Pp. 194−195.
- Georgi H., Glashow S. L. Unified weak and electromagnetic interactions without neutral currents // Phys. Rev. Lett. — 1972. — Vol. 28. — P. 1494.
- Bogomolny E. B. Stability of classical solutions // Sov. J. Nucl. Phys. — 1976.-Vol. 24, — P. 449.
- Monopole condensation and color confinement / A. S. Kronfeld, M. L. Laursen, G. Schierholz, U. J. Wiese // Phys. Lett.— 1987.— Vol. B198. — P. 516.
- Kronfeld A. S., Schierholz G., Wiese U. J. Topology and dynamics of the confinement mechanism // Nucl. Phys. — 1987. Vol. B293. — P. 461.
- Ezawa Z. F., Iwazaki A. Abelian dominance and quark confinement in yang-mills theories // Phys. Rev. 1982. — Vol. D25. — P. 2681.
- Suzuki Т., Yotsuyanagi I. A possible evidence for Abelian dominance in quark confinement // Phys. Rev. 1990. — Vol. D42. — Pp. 4257−4260.
- Dual Superconductor Scenario of Confinement: A Systematic Study of Gribov Copy Effects / G. S. Bali, V. Bornyakov, M. Muller-Preussker, K. Schilling // Phys. Rev. 1996. — Vol. D54. — Pp. 2863−2875.
- Bornyakov V. G., Ilgenfritz E. M., Mueller-Preussker M. Universality check of abelian monopoles // Phys. Rev. 2005. — Vol. D72. — P. 54 511.
- Stack J. D. Polyakov loops and magnetic screening from monopoles in SU (2) lattice gauge theory // Nucl. Phys. Proc. Suppl. — 1997. — Vol. 53. -Pp. 524−527.
- Yee К. K. Abelian dominance in pure gauge SU (3) // Nucl. Phys. Proc. Suppl. 1994. — Vol. 34. — Pp. 189−191.
- Ejiri S. Monopole condensation and Polyakov loop in finite- temperature pure QCD // Nucl. Phys. Proc. Suppl. 1997. — Vol. 53. — Pp. 491−493.
- Suzuki T. et al. Monopoles and hadron spectrum in quenched QCD // Nucl. Phys. Proc. Suppl. 1996. — Vol. 47. — Pp. 374−377.
- Miyamura 0. Chiral symmetry breaking in gauge fields dominated by monopoles on SU (2) lattices // Phys. Lett. — 1995. Vol. B353. — Pp. 9195.
- Singh V., Browne D. A., Haymaker R. W. Structure of Abrikosov vortices in SU (2) lattice gauge theory // Phys. Lett. — 1993. Vol. B306. — Pp. 115 119.
- Schlichter C., Bali G. S., Schilling K. The structure of flux tubes in maximal abelian gauge // Nucl. Phys. Proc. Suppl. 1998. — Vol. 63. — Pp. 519−521.
- String tension and monopoles in T not = 0 SU (2) QCD / S. Ejiri, S.i. Kitahara, Y. Matsubara, T. Suzuki // Phys. Lett. — 1995. — Vol. B343. — Pp. 304−309.
- Frohlich J., Marchetti P. A. Magnetic monopoles and charged states in four-dimensional, abelian lattice gauge theories // Europhys. Lett. — 1986. — Vol. 2. Pp. 933−940.
- Polikarpov M. I., Polley L., Wiese U. J. The Monopole constraint effective potential in U (1) lattice gauge theory // Phys. Lett. — 1991. — Vol. B253. — Pp. 212−217.
- Chernodub M. N., Polikarpov M. I., Veselov A. I. Effective constraint potential for Abelian monopole in SU (2) lattice gauge theory // Phys. Lett. — 1997. Vol. B399. — Pp. 267−273.
- Kennedy Т., King C. Spontaneous symmetry breakdown in the abelian higgs model // Commun. Math. Phys. 1986. —Vol. 104. — Pp. 327−347.
- Nakamura N. et al. Disorder parameter of confinement // Nucl. Phys. Proc. Suppl. 1997. — Vol. 53. — Pp. 512−514.
- Hart A., Teper M. Monopole clusters in abelian projected gauge theories // Phys. Rev. 1998. — Vol. D58. — P. 14 504.
- Hart A., Teper M. Monopole clusters, z (2) vortices and confinement in su (2) 11 Phys. Rev. 1999. — Vol. D60. — P. 114 506.
- Bornyakov V. G., Mitrjushkin V. K., Muller-Preussker M. Deconfinement transition and Abelian monopoles in SU (2) lattice gauge theory // Phys. Lett. 1992. — Vol. B284. — Pp. 99−105.
- Grimmett G. Percolation. — Springer- 2 edition, 1999.
- Ivanenko Т. L., Polikarpov M. I., Pochinsky А. V. Condensate of monopoles and confinement in an su (2) lattice gauge theory // JETP Lett. — 1991. — Vol. 53. Pp. 543−545.
- Ivanenko T. L., Pochinsky A. V., Polikarpov M. I. Condensate of abelian monopoles and confinement in lattice gauge theories // Phys. Lett. — 1993. Vol. B302. — Pp. 458−462.
- Langfeld K., Reinhardt H. Monopole anti-monopole excitation in mag projected su (2) lattice gauge theory. — 2002.
- Bornyakov V. G. et al. Anatomy of the lattice magnetic monopoles // Phys. Lett. 2002. — Vol. B537. — Pp. 291−296.53. 't Hooft G. On the Phase Transition Towards Permanent Quark Confinement // Nucl. Phys. 1978. — Vol. В138. — P. 1.
- Mack G., Petkova V. B. Comparison of Lattice Gauge Theories with Gauge Groups Z (2) and SU (2) // Ann. Phys. 1979. — Vol. 123. — P. 442.
- Nielsen H. В., Olesen P. A Quantum Liquid Model for the QCD Vacuum: Gauge and Rotational Invariance of Domained and Quantized Homogeneous Color Fields // Nucl. Phys. 1979. — Vol. B160. — P. 380.
- Ambjorn J., Olesen P. On the Formation of a Random Color Magnetic Quantum Liquid in QCD // Nucl. Phys. 1980. — Vol. B170. — P. 60.
- Ambjorn J., Olesen P. A Color Magnetic Vortex Condensate in QCD // Nucl. Phys. 1980. — Vol. B170. — P. 265.
- Greensite J. The confinement problem in lattice gauge theory // Prog. Part. Nucl. Phys. 2003. — Vol. 51. — P. 1.
- Center dominance, center vortices, and confinement / L. Del Debbio, M. Faber, J. Greensite, S. Olejnik. — 1997.
- Engelhardt M., Reinhardt H. Center vortex model for the infrared sector of Yang-Mills theory: Confinement and deconfinement // Nucl. Phys. — 2000. Vol. B585. — Pp. 591−613.
- Faber M. E., Greensite J., Olejnik S. Direct Laplacian center gauge // JHEP. 2001. — Vol. 11. — P. 053.62. de Forcrand P., D’Elia M. On the relevance of center vortices to QCD // Phys. Rev. Lett. — 1999.- Vol. 82. — Pp. 4582−4585.
- Deconfinement in SU (2) Yang-Mills theory as a center vortex percolation transition / M. Engelhardt, K. Langfeld, H. Reinhardt, O. Tennert // Phys. Rev. 2000. — Vol. D61. — P. 54 504.
- Self-tuning of the P-vortices / F. V. Gubarev, A. V. Kovalenko, M. I. Polikarpov et al. // Nucl Phys. Proc. Suppl. 2004. — Vol. 129. — Pp. 671−673.
- Properties of P-vortex and monopole clusters in lattice SU (2) gauge theory / A. V. Kovalenko, M. I. Polikarpov, S. N. Syritsyn, V. I. Zakharov // Phys. Rev. 2005. — Vol. D71. — P. 54 511.
- Interplay of monopoles and P-vortices / A. V. Kovalenko, M. I. Polikarpov, S. N. Syritsyn, V. I. Zakharov // Nucl. Phys. Proc. Suppl. — 2004. — Vol. 129. Pp. 665−667.
- The structure of projected center vortices in lattice gauge theory / R. Bertie, M. Faber, J. Greensite, S. Olejnik // JHEP. — 1999. — Vol. 03. — P. 019.
- Zakharov V. I. Hidden mass hierarchy in qcd. — 2002.
- Chernodub M. N., Zakharov V. I. Towards understanding structure of the monopole clusters // Nucl. Phys. — 2003. — Vol. B669. — Pp. 233−254.
- Zakharov V. I. Hints on dual variables from the lattice SU (2) gluodynam-ics. 2003.
- Zakharov V. I. Non-perturbative match of ultraviolet renormalon. — 2003.
- Shifman M. A., Vainshtein A. I., Zakharov V. I. QCD and Resonance Physics. Sum Rules // Nucl. Phys. 1979. — Vol. B147. — Pp. 385−447.
- Berry M. V. Quantal phase factors accompanying adiabatic changes // Proc. Roy. Soc. bond. 1984. — Vol. A392. — Pp. 45−57.
- Wilczek F.- Zee A. Appearance of Gauge Structure in Simple Dynamical Systems // Phys. Rev. Lett. 1984. — Vol. 52, — P. 2111.
- Дубровин. Новиков. Фоменко.. Современная геометрия. Методы и приложения. — М.: Эдиториал УРСС, 2001.
- Polyakov А. М., Belavin A. A. Metastable States of Two-Dimensional Isotropic Ferromagnets // JETP Lett. 1975. — Vol. 22. — Pp. 245−248.
- Gursey F., Tze C.-H. Complex and quaternionic analyticity in chiral and gauge theories, part 1 // Ann. Phys. — 1980. Vol. 128. — P. 29.
- Narasimhan M., Ramanan S. // Amer. J. of Math. — 1963.— Vol. 85.— P. 223.
- Construction of instantons / M. F. Atiyah, N. J. Hitchin, V. G. Drinfeld, Y. I. Manin // Phys. Lett. 1978. — Vol. A65. — Pp. 185−187.
- Zhang J. B. et al. Numerical study of lattice index theorem using improved cooling and overlap fermions // Phys. Rev. — 2002. — Vol. D65. — P. 74 510.
- Del Debbio L., Pica C. Topological susceptibility from the overlap // JHEP. 2004. — Vol. 02. — P. 003.
- Gubarev F. V., Morozov S. M. Lattice gauge fields topology uncovered by quaternionic sigma-model embedding // Phys. Rev. — 2005. — Vol. D72. — P. 76 008.
- High statistics computation of the topological susceptibility of SU (2) gauge theory / A. S. Kronfeld, M. L. Laursen, G. Schierholz, U. J. Wiese // Nucl. Phys. 1987. — Vol. B292. — P. 330.
- Phillips A., Stone D. Lattice gauge fields, principal bundles and the calculation of topological charge // Commun. Math. Phys. — 1986. — Vol. 103. — Pp. 599−636.
- Preliminary evidence for U (l)-A breaking in qcd from lattice calculations / P. Di Vecchia, K. Fabricius, G. C. Rossi, G. Veneziano // Nucl. Phys.— 1981, —Vol. B192. — P. 392.
- Bilson-Thompson S. О., Leinweber D. В., Williams A. G. Highly-improved lattice field-strength tensor // Ann. Phys. — 2003. — Vol. 304. — Pp. 1−21.
- Neuberger H. Exactly massless quarks on the lattice // Phys. Lett. — 1998. — Vol. B417. Pp. 141−144.
- Narayanan R., Neuberger H. A construction of lattice chiral gauge theories // Nucl. Phys. 1995. — Vol. B443. — Pp. 305−385.
- Garcia Perez M., Philipsen O., Stamatescu I.-O. Cooling, physical scales and topology // Nucl. Phys. 1999. — Vol. B551. — Pp. 293−313.
- Lucini В., Teper M. SU (N) gauge theories in four dimensions: Exploring the approach to N infinity // JEEP. — 2001. — Vol. 06. — P. 050.
- Low lying eigenmodes localization for chirally symmetric Dirac operator / F. V. Gubarev, S. M. Morozov, M. I. Polikarpov, V. I. Zakharov. — 2005.
- Rakow P. E. L. Stochastic perturbation theory and the gluon condensate // PoS. 2006. — Vol. LAT2005. — P. 284.
- Baig M. Gluon condensation parameter in SU (2) lattice gauge theory and large N universality. — UAB-FT-124.
- Di Giacomo A., Rossi G. C. Extracting the Vacuum Expectation Value of the Quantity alpha / pi G G from Gauge Theories on a Lattice // Phys. Lett. 1981. — Vol. B100. — P. 481.
- Bali G. S., Schilling K., Schlichter C. Observing long color flux tubes in SU (2) lattice gauge theory // Phys. Rev. 1995. — Vol. D51. — Pp. 51 655 198.
- Narayanan R., Vranas P. M. A numerical test of the continuum index theorem on the lattice 11 Nucl. Phys. 1997. — Vol. B506. — Pp. 373−386.
- Banks Т., Casher A. Chiral Symmetry Breaking in Confining Theories // Nucl. Phys. 1980. — Vol. B169. — P. 103.
- Horvath I. et al. On the local structure of topological charge fluctuations in QCD // Phys. Rev. 2003. — Vol. D67. — P. 11 501.
- Seller E. Some more remarks on the Witten-Veneziano formula for the eta' mass // Phys. Lett. — 2002. Vol. B525. — Pp. 355−359.
- Horvath I. et al. Low-dimensional long-range topological charge structure in the QCD vacuum // Phys. Rev. 2003.- Vol. D68. — P. 114 505.
- Itzykson C., Drouffe J. M. Statistical Field Theory.— Cambridge Univ. Press, 1989.
- Localization of low lying eigenmodes for chirally symmetric Dirac operator / M. I. Polikarpov, F. V. Gubarev, S. M. Morozov, V. I. Zakharov // PoS. — 2006. Vol. LAT2005. — P. 143.
- Ambjorn J. Quantization of geometry. — 1994.
- Ambjorn J., Durhuus В., Jonsson T. Quantum geometry. A statistical field theory approach. — Cambridge, UK: Univ. Pr., 1997. (Cambridge Monographs in Mathematical Physics). 363 p.
- Polyakov A. M. Gauge fields and strings. — Chur, Switzerland: Harwood1987) 301 P. (Contemporary Concepts in Physics, 3).
- Parisi G. Statistical field theory. — Redwood City, USA: Addison-Wesley1988) 352 P. (Frontiers in Physics, 66).
- Feinberg G. Possibility of Faster-Than-Light Particles // Phys. Rev.— 1967. Vol. 159. — Pp. 1089−1105.
- Gubarev</span> F. V., Polikarpov M. /., Zakharov V. I. Physics of the power corrections in QCD // Surveys High Energ. Phys. — 2000. — Vol. 15. — Pp. 89 144.
- Zakharov V. I. Renormalons as a bridge between perturbative and non-perturbative physics // Prog. Theor. Phys. Suppl— 1998.— Vol. 131. — Pp. 107−127.
- Beneke M. Renormalons // Phys. Kept. 1999. — Vol. 317. — Pp. 1−142.
- Zakharov V. I. QCD'98: Status of the power corrections // Nucl Phys. Proc. Suppl 1999. — Vol. 74. — Pp. 392−398.
- Zakharov V. I. From confining fields back to power corrections // Nucl Phys. Proc. Suppl — 2007. Vol. 164. — Pp. 240−247.
- Balitsky I. I. Wilson loop for the stretched contours in vacuum fields and the small distance behavior of the interquark potential // Nucl Phys. — 1985. Vol. B254. — Pp. 166−186.
- Dosch H. G., Simonov Y. A. The Area Law of the Wilson Loop and Vacuum Field Correlators // Phys. Lett. — 1988. Vol. B205. — P. 339.
- Webber B. R. Estimation of power corrections to hadronic event shapes // Phys. Lett. 1994. — Vol. B339. — Pp. 148−150.
- Bali G. S. Are there short distance non-perturbative contributions to the QCD static potential? // Phys. Lett. 1999. — Vol. B460. — P. 170.
- Chetyrkin K. G., NarisonS., Zakharov V. I. Short-distance tachyonic gluon mass and 1/Q2 corrections // Nucl Phys. — 1999. — Vol. B550. — Pp. 353 374.
- Вепеке М., Zakharov V. I. Improving large order perturbative expansions in quantum chromodynamics // Phys. Rev. Lett.— 1992.— Vol. 69.— Pp. 2472−2474.
- Gubarev F. V.} Stodolsky L., Zakharov V. I. On the significance of the quantity A2 // Phys. Rev. Lett. 2001. — Vol. 86. — Pp. 2220−2222.
- Gubarev F. V., Zakharov V. I. On the emerging phenomenology of ((.Aa)2)min 11 Phys. Lett. 2001. — Vol. B501. — Pp. 28−36.