Fermi Spectra and their Gauge Invariance in Hot and Dense Abelian and Non-Abelian theories

The one-loop Fermi spectra (one-particle and collective ones) are found for all momenta in the T2-approximation and their gauge invariance in hot and dense Abelian and non-Abelian theories is studied. It is shown that the one-particle spectrum, if the calculation accuracy is kept strictly, is gauge invariant for all momenta and has two branches as the bare one. The collective spectrum always has four branches which are gauge dependent including also their |q| = 0 limit. The exception is the case m, µ = 0 for which this spectrum is gauge invariant for a momenta as well.

[1]  O. K. Kalashnikov.  ONE-PARTICLE AND COLLECTIVE ELECTRON SPECTRA IN HOT AND DENSE QED AND THEIR GAUGE DEPENDENCE , 1998, hep-ph/9805385.

[2]  A. Kronfeld.  Perturbative pole mass in QCD , 1998, hep-ph/9805215.

[3]  O. K. Kalashnikov.  Fermi Excitations in Hot and Dense Quark–Gluon Plasma , 1996, hep-ph/9612323.

[4]  C. Quimbay,et al.  Fermionic dispersion relations in the standard model at finite temperature , 1995, hep-ph/9504410.

[5]  T. Steele,et al.  The Nielsen identities for the two-point functions of QED and QCD , 1994, hep-th/9407028.

[6]  Blaizot,et al.  Collective fermionic excitations in systems with a large chemical potential. , 1993, Physical review. D, Particles and fields.

[7]  E. Petitgirard.  Massive fermion dispersion relation at finite temperature , 1992 .

[8]  Svetitsky,et al.  Emergence of new quasiparticles in quantum electrodynamics at finite temperature. , 1992, Physical Review D, Particles and fields.

[9]  E. Braaten,et al.  Calculation of the quark damping rate in hot QCD. , 1992, Physical review. D, Particles and fields.

[10]  O. K. Kalashnikov.  QCD infrared pole at finite temperature , 1992 .

[11]  R. Kobes,et al.  Gauge dependence identities and their application at finite temperature , 1991 .

[12]  A. Smilga,et al.  Spectrum of quark-gluon plasma , 1990 .

[13]  Weldon,et al.  Dynamical holes in the quark-gluon plasma. , 1989, Physical review. D, Particles and fields.

[14]  R. Pisarski.  Renormalized fermion propagator in hot gauge theories , 1989 .

[15]  H. Weldon.  Particles and holes , 1989 .

[16]  Boal,et al.  Self-energy corrections to fermions in the presence of a thermal background. , 1985, Physical Review D, Particles and fields.

[17]  O. K. Kalashnikov.  QCD at finite temperature , 1984 .

[18]  H. Weldon.  Effective Fermion Masses of Order gT in High Temperature Gauge Theories with Exact Chiral Invariance , 1982 .