Finite temperature gluon self-energy in a class of temporal gauges

Brandt, F. T.; Frenkel, Jacob A.; Machado, F. R.

doi:10.1103/physrevd.61.125014

Cited by 2 publications

(5 citation statements)

References 26 publications

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“…where Π ǫ µν,αβ is the residue of the ultraviolet divergent zero temperature contribution computed in D = 4 − 2ǫ dimensions. The verification of this property in the case of gravity formulated in the temporal gauge complements similar results obtained in the Feynman-de Donder gauge [4] as well as in the case of the Yang-Mills theory [17,24]. Since our calculation has been performed for arbitrary values of α, we present complete results in the Appendix C.…”

Section: Thermal Forward Scattering Contributions To the Graviton Sel...supporting

confidence: 81%

“…This procedure (partial fractions and then shifts) has been employed previously in the case of the Yang-Mills theory [17]. In contrast with the present thermal gravity result given by Eq.…”

Section: Thermal Forward Scattering Contributions To the Graviton Sel...mentioning

confidence: 92%

“…We now follow the steps explained in the Appendix A of Ref. [17]. Basically this consists in the use of Eq.…”

Section: Thermal Forward Scattering Contributions To the Graviton Sel...mentioning

confidence: 99%

“…At finite temperature non-covariant temporal gauges would be even more appropriate, since the Lorentz covariance is already broken by the heat bath but the rotational invariance is preserved. Despite the other well known advantages of the temporal gauge, finite temperature calculations have been performed only in Yang-Mills theories both in imaginary and in the real time formalisms [11,12,13,14,15,16,17]. This can be partially understood in view of the complexity of the gravitational interaction and so explicit calculations in non-covariant gauges have been restricted to the zero temperature case.…”

Section: Introductionmentioning

confidence: 99%

“…This situation was improved after the development of an ambiguity-free technique to perform perturbative calculations at finite temperature in the temporal gauge [15,16]. Originally this technique was tested using zeta-functions to compute the Matsubara sums and later it was applied to the calculation of the gluon self-energy using the standard method of introducing thermal distributions by replacing the Matsubara frequency sum with a contour integral in the complex plane of the zero component of the internal momentum [17].…”

Section: Introductionmentioning

confidence: 99%

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Thermal one- and two-graviton Green’s functions in the temporal gauge

2003

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The thermal one-and two-graviton Green's functions are computed using a temporal gauge. In order to handle the extra poles which are present in the propagator, we employ an ambiguity-free technique in the imaginary-time formalism. For temperatures T high compared with the external momentum, we obtain the leading T 4 as well as the subleading T 2 and log(T) contributions to the graviton self-energy. The gauge fixing independence of the leading T 4 terms as well as the Ward identity relating the self-energy with the one-point function are explicitly verified. We also verify the 't Hooft identities for the subleading T 2 terms and show that the logarithmic part has the same structure as the residue of the ultraviolet pole of the zero temperature graviton self-energy. We explicitly compute the extra terms generated by the prescription poles and verify that they do not change the behavior of the leading and sub-leading contributions from the hard thermal loop region. We discuss the modification of the solutions of the dispersion relations in the graviton plasma induced by the subleading T 2 contributions.

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Section: Thermal Forward Scattering Contributions To the Graviton Sel...supporting

confidence: 81%

“…This procedure (partial fractions and then shifts) has been employed previously in the case of the Yang-Mills theory [17]. In contrast with the present thermal gravity result given by Eq.…”

Section: Thermal Forward Scattering Contributions To the Graviton Sel...mentioning

confidence: 92%

“…We now follow the steps explained in the Appendix A of Ref. [17]. Basically this consists in the use of Eq.…”

Section: Thermal Forward Scattering Contributions To the Graviton Sel...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Thermal one- and two-graviton Green’s functions in the temporal gauge

2003

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Behavior of the thermal gluon self-energy in the Coulomb gauge

2000

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We study, to one loop order, the behavior of the gluon self-energy in the non covariant Coulomb gauge at finite temperature. The cancellation of the peculiar energy divergences, which arise in such a gauge, is explicitly verified in the complete two point function of the Yang-Mills theory. At high temperatures, the leading T 2 term is determined to be transverse and nonlocal, in agreement with the results obtained in covariant gauges. The coefficient of the sub-leading ln(T ) contribution, is non transverse but local and coincides (up to a multiplicative constant) with that of the ultraviolet pole term of the zero temperature amplitude.In thermal field theory, one is often interested in the contributions which arise from the region where the loop momenta are of the same order as the temperature T , with T much larger than all the masses and external momenta [1,2,3,4,5]. Such hard thermal loop contributions determine the leading gauge invariant terms of the amplitudes at high temperature, which 1

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Finite temperature gluon self-energy in a class of temporal gauges

Cited by 2 publications

References 26 publications

Thermal one- and two-graviton Green’s functions in the temporal gauge

Thermal one- and two-graviton Green’s functions in the temporal gauge

Behavior of the thermal gluon self-energy in the Coulomb gauge

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