Transformations of real-time finite-temperature Feynman rules

Eijck, M. A. van; Kobes, R.; Weert, Ch.G. van

doi:10.1103/physrevd.50.4097

Cited by 68 publications

(95 citation statements)

References 29 publications

(94 reference statements)

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“…Although it is not Feynman's fault, there is an F/F basis that was motivated by zero-temperature Feynman propagators. The algebraic relations between these various choice of bases was clarified in two papers by van Weert et al [13,14]. The analytic properties of the amplitudes was not treated in these investigations.…”

Section: B T = 0 Backgroundmentioning

confidence: 99%

Search for combinations of thermaln-point functions with analytic extensions

Weldon

2005

Phys. Rev. D

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The 2 n different n-point functions that occur in real-time thermal field theory are Fourier transformed to real energies. Because of branch cuts in various energy variables, none of these functions can be extended analytically to complex energies. The known linear combinations that form the fully retarded and advanced functions can be extended analytically. It is proven that no other linear combinations have an analytic extension to complex energies.

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Section: B T = 0 Backgroundmentioning

confidence: 99%

Search for combinations of thermaln-point functions with analytic extensions

Weldon

2005

Phys. Rev. D

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“…However, the retarded self energies are differently defined, e.g. Σ R ≡ Σ 11 + exp(−p 0 /2T )Σ 12 [18].…”

Section: Interaction Rate Of a Hard Electronmentioning

confidence: 99%

Equilibrium and non-equilibrium hard thermal loop resummation in the real time formalism

1999

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We investigate the hard thermal loop (HTL) resummation technique, which has been derived by Braaten and Pisarski starting from the imaginary time formalism (ITF). We use the real time formalism (RTF) and consider equilibrium as well as non-equilibrium situations. Choosing the Keldysh representation for the propagators, which simplifies significantly the calculation, we derive the HTL photon self energy and the resummed photon propagator. As an example of the application of the HTL resummation method within the RTF we discuss the damping rate of a hard electron. In particular we show that no pinch singularities appear even in non-equilibrium situations.

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“…Feynman Basis: The 2 × 2 matrix structure of the time-ordered thermal propagator may be diagonalized in terms of functions which have Feynman-like analytic structure (analytic in the upper half-plane of complex (k 0 ) 2 ) as follows [5,13]:…”

Section: Appendix A: Tensor Basismentioning

confidence: 99%

Structure of the Gluon Propagator at Finite Temperature

Weldon

1999

Annals of Physics

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The thermal self-energy of gluons generally depends on four Lorentz-invariant functions. Only two of these occur in the hard thermal loop approximation of Braaten and Pisarski because of the abelian Ward identity K µ Π µν htl = 0.However, for the exact self-energy K µ Π µν = 0. In linear gauges the SlavnovTaylor identity is shown to require a non-linear relation among three of theThis reduces the exact gluon propagator to a simple form containing only two types of poles: one that determines the behavior of transverse electric and magnetic gluons and one that controls the longitudinally polarized electric gluons.

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Transformations of real-time finite-temperature Feynman rules

Cited by 68 publications

References 29 publications

Search for combinations of thermaln-point functions with analytic extensions

Search for combinations of thermaln-point functions with analytic extensions

Equilibrium and non-equilibrium hard thermal loop resummation in the real time formalism

Structure of the Gluon Propagator at Finite Temperature

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