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Spectral function at high temperature in the classical approximation

Gert Aarts
(
- Heidelberg U.
)

Aug, 2001

13 pages

Published in:

Phys.Lett.B 518 (2001) 315-322

e-Print:

hep-ph/0108125 [hep-ph]

DOI:

10.1016/S0370-2693(01)01081-4

Report number:

HD-THEP-01-33

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Abstract:

At high temperature the infrared modes of a weakly coupled quantum field theory can be treated nonperturbatively in real time using the classical field approximation. We use this to introduce a nonperturbative approach to the calculation of finite-temperature spectral functions, employing the classical KMS condition in real time. The method is illustrated for the one-particle spectral function in a scalar field theory in 2+1 dimensions. The result is compared with resummed two-loop perturbation theory and both the plasmon mass and width are found to agree with the analytical prediction.

Note:

13 pages with 4 eps figures, minor changes; to appear in Phys.Lett.B Report-no: HD-THEP-01-33

11.10.Wx
11.15.Kc
field theory: finite temperature
spectral representation
approximation: classical
nonperturbative
field theory: scalar
dimension: 3
lattice field theory
perturbation theory: higher-order

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