Pole prescription in axial gauge at finite temperature

Nonabelian Debye screening in one-loop resummed perturbation theory

“…( 34) are only insignificantly increased, yielding now m ef f. m 0 = 1.18 (11) PLC with m m and Debye mass according to Eq. ( 16) 0.98 PLC without magnetic mass and m = m 0 (35) whereas the lattice result ( 33) is reduced to m/m 0 = 1.00(4). Apparently this is in better agreement with the perturbative result prior to the introduction of a magnetic mass, but by directly comparing the complete screening functions with the lattice data, redone in Fig.…”

“…A 0 = 0 is incompatible with strict periodicity in imaginary time [28], so when using the imaginary-time formalism (which is convenient for separating the zero-mode contributions) one has either to give up periodicity in the longitudinal propagator, which leads to rather complicated Feynman rules [34], or one has to relax the condition A 0 = 0. A regularisation of TAG through general axial gauges has been developed by Nachbagauer [35], and this procedure would again eliminate contributions from the resummed vertices, thus presumably removing the source of the contributions giving odd powers of k. And in the absence of odd powers of k, one would fall back to the task of finding the shift of the pole position, if any. If one defines an effective Π L from the electric correlation (cf.…”

Finite temperature formalism for non-Abelian gauge theories in the physical phase space

“…, since it is gauge invariant under the transformation (5) . For the kinetic part in the Hamiltonian, we need an expression for metric entering implicitly in the definition of the inner product in (1).…”

“…The advantage of their approach, which is the standard way finite temperature field theory is handled, is that all degrees of freedom are heated which results in simple Feynman rules. However, in the particular case of TAG, this construction does not work [5] and one has to go back to the projected ensemble involving physical states only.…”

“…At finite temperature in the real time formalism (RTF), analogously to the zero temperature case, a temperature-dependent pole-prescription arises naturally within the framework of Hamiltonian quantization [5], and for the particular choice of temporal axial gauge (TAG), ( n = 0), a RTF has been developed successfully [6].…”