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Contrasting real time dynamics with screening phenomena at finite temperature

Su-zhou Huang
(
- MIT, LNS and
- Washington U., Seattle
)
,
Marcello Lissia
(
- MIT, LNS and
- Cagliari U. and
- INFN, Cagliari
)

Sep, 1995

26 pages

Published in:

Phys.Rev.D 53 (1996) 7270-7285

e-Print:

hep-ph/9509360 [hep-ph]

DOI:

10.1103/PhysRevD.53.7270

Report number:

MIT-CTP-2359A,
INFN-CA-TH-94-9

View in:

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Abstract:

We discuss the interpretation of Euclidean correlation functions at finite temperature (

T

) and their relationship with the corresponding real-time Green's functions. The soluble 2+1 dimensional Gross-Neveu model in the large-

N

limit is used throughout as a working example. First, the real-time bound state, identified as an elementary excitation at finite

T

, is solved. The bound state mass, the dispersion relation at low momenta, the coupling constant and decay constant are calculated. To characterize the structure of the bound state the on-shell form factor is carefully introduced and calculated. Then we examine the corresponding screening state and contrast the screening mass, coupling constant, decay constant and the screening Bethe-Salpeter amplitude with the real-time quantities. We find that, although they can be used as qualitative indicators in the low-

T

regime, the screening states at finite

T

in general do not reflect the properties of the corresponding real-time bound states. Besides, other relevant issues, such as the subtlety of the real-time manifestation of conservation laws due to some internal symmetries at

T\ne 0

, the temperature dependence of the pseudoscalar spectral function and its sum rule, and the high-

T

limit of the screening state and its implications to the dimensional reduction, are also discussed in detail.

11.55.Hx
11.15.Pg
11.10.Wx
11.10.Kk
quantum chromodynamics
finite temperature
correlation function
propagator
Gross-Neveu model
dimension: 3

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