Diagonalization of propagators in thermo field dynamics for relativistic quantum fields

Henning, Peter A.; Umezawa, H.

doi:10.1016/0550-3213(94)90481-2

Cited by 19 publications

(47 citation statements)

References 34 publications

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“…A similar relation holds for the boson case, see [13,14] for details of the corresponding B. For both cases, the transformation matrices B have a special meaning in the TFD formalism, where they play the role of a thermal Bogoliubov transformation.…”

Section: Retarded and Advanced Propagatorsmentioning

confidence: 85%

“…the "anti-time ordered" product. The same matrix valued propagator is obtained in TFD (see [13,14] for detailed discussions of this equivalence). By construction the propagator matrix obeys the linear relation S 11 + S 22 − S 12 − S 21 = 0.…”

Section: Spectral Functionsmentioning

confidence: 89%

“…This amounts to a diagonalization scheme for the matrix (1), which has been described in several publications [13,14].…”

Section: Spectral Functionsmentioning

confidence: 99%

“…In terms of the spectral function A F (E, p ), the matrix valued propagator of equation (1) can be expressed as [13,14] …”

Section: Retarded and Advanced Propagatorsmentioning

confidence: 99%

“…Furthermore, in an equilibrium state it has to fulfil the Kubo-MartinSchwinger condition [15], i.e., an anti-periodic boundary condition in the imaginary time direction. In momentum space the KMS condition then reads [10,13,14] (…”

Section: Spectral Functionsmentioning

confidence: 99%

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Damping Rate of a Massive Fermion in a Hot Medium

Henning¹

2000

Condens. Matter Phys.

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In a hot system every excitation acquires a finite lifetime, manifesting itself in a non-zero spectral width. Ordinary damping as well as quantum memory effects arise from this nontrivial spectral function. This report presents a new method for the self-consistent calculation of the spectral width of a fermion coupled to massless bosons of scalar, vector and pseudoscalar type. In accordance with the known procedures of Quantum Electrodynamics, the self-consistent summation of the corresponding Fock diagram eliminates all infrared divergences although the bosons are not screened at all. The solutions for the fermion damping rate are analytical in the coupling constant g , but not analytical in the temperature parameter, i.e., γ ∝ g 2 T + O(g 4 T log(T /M )) .

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Section: Retarded and Advanced Propagatorsmentioning

confidence: 85%

Section: Spectral Functionsmentioning

confidence: 89%

“…This amounts to a diagonalization scheme for the matrix (1), which has been described in several publications [13,14].…”

Section: Spectral Functionsmentioning

confidence: 99%

“…In terms of the spectral function A F (E, p ), the matrix valued propagator of equation (1) can be expressed as [13,14] …”

Section: Retarded and Advanced Propagatorsmentioning

confidence: 99%