Finiteness of hot classical scalar field theory and the plasmon damping rate - INSPIRE

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Finiteness of hot classical scalar field theory and the plasmon damping rate

Gert Aarts
(
- Utrecht U.
)
,
Jan Smit
(
- Utrecht U. and
- Amsterdam U.
)

Oct, 1996

11 pages

Published in:

Phys.Lett.B 393 (1997) 395-402

e-Print:

hep-ph/9610415 [hep-ph]

DOI:

10.1016/S0370-2693(96)01624-3

Report number:

THU-96-37,
ITFA-96-43

View in:

ADS Abstract Service

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Abstract:

We investigate the renormalizability of the classical

\phi~4

theory at finite temperature. We calculate the time-dependent two point function to two loop order and show that it can be rendered finite by the counterterms of the classical static theory. As an application the classical plasmon damping rate is found to be \gm = \lambda~2 T~2/1536 \pi m. When we use the high temperature expression for

m

given by dimensional reduction, the rate is found to agree with the quantum mechanical result.

phi**n model: 4
field theory: classical
temperature: high
correlation function
perturbation theory: higher-order
renormalization
field theory: finite

References(22)

Figures(0)

Soliton Pair Creation at Finite Temperatures. Numerical Study in (1+1)-dimensions

Dmitri Yu. Grigoriev
(
- Moscow, INR
)
,
V.A. Rubakov
(
- Moscow, INR
)

- Nucl.Phys.B 299 (1988) 67-78
•
DOI:
- 10.1016/0550-3213(88)90466-X

TOPOLOGICAL TRANSITIONS AT FINITE TEMPERATURES: A REAL TIME NUMERICAL APPROACH

Dmitri Yu. Grigoriev
(
- Moscow, INR
)
,
V.A. Rubakov
(
- Moscow, INR
)
,
M.E. Shaposhnikov
(
- Moscow, INR
)

- Nucl.Phys.B 326 (1989) 737-757
•
DOI:
- 10.1016/0550-3213(89)90553-1

Nonperturbative evaluation of the diffusion rate in field theory at high temperatures

Alexander Bochkarev
(
- Bern U.
)
,
Philippe de Forcrand
(
- Bern U.
)

- Phys.Rev.D 47 (1993) 3476-3486
•
e-Print:
- hep-lat/9210027
•
DOI:
- 10.1103/PhysRevD.47.3476

Sphaleron - like processes in a realistic heat bath

A. Krasnitz
(
- Zurich, ETH
)
,
R. Potting
(
- Algarve U.
)

- Nucl.Phys.B Proc.Suppl. 34 (1994) 613-615,
- Dallas Lattice 1993:0613-615
•
e-Print:
- hep-lat/9312062
•
DOI:
- 10.1016/0920-5632(94)90461-8

Chern-Simons Number diffusion in (1+1)-dimensional Higgs theory

- Phys.Rev.D 50 (1994) R6054-R6057
•
e-Print:
- hep-ph/9407241
•
DOI:
- 10.1103/PhysRevD.50.R6054

Sphaleron transition rate in the classical (1+1)-dimensional Abelian Higgs model at finite temperature

J. Smit
(
- Amsterdam U.
)
,
W.H. Tang
(
- Amsterdam U.
)

- Nucl.Phys.B Proc.Suppl. 34 (1994) 616-618,
- In *Dallas 1993, Proceedings, Lattice '93* 616-618. (Nucl. Phys. B, Proc. Suppl. 34 (1994) 616-618). and Amsterdam Univ. - ITFA-93-34 (93/11,rec.Dec.) 3 p. C
•
e-Print:
- hep-lat/9312011
•
DOI:
- 10.1016/0920-5632(94)90462-6

Sphaleron transition rate at high temperature in the (1+1)-D Abelian Higgs model

J. Smit
(
- Amsterdam U.
)
,
W.H. Tang
(
- Amsterdam U.
)

- Nucl.Phys.B Proc.Suppl. 42 (1995) 590-592
•
e-Print:
- hep-lat/9412016
•
DOI:
- 10.1016/0920-5632(95)00320-9

Lattice Simulations of Electroweak Sphaleron Transitions in Real Time

- Phys.Lett.B 244 (1990) 479-487
•
DOI:
- 10.1016/0370-2693(90)90350-F

Sphaleron transitions and baryon asymmetry: A Numerical real time analysis

- Nucl.Phys.B 353 (1991) 346-378
•
DOI:
- 10.1016/0550-3213(91)90341-T

The Classical sphaleron transition rate exists and is equal to 1.1 (alpha(w) T)**4

Jan Ambjorn
(
- Bohr Inst.
)
,
A. Krasnitz
(
- Bohr Inst.
)

- Phys.Lett.B 362 (1995) 97-104
•
e-Print:
- hep-ph/9508202
•
DOI:
- 10.1016/0370-2693(95)01157-L

Motion of Chern-Simons number at high temperatures under a chemical potential

Guy D. Moore
(
- Princeton U.
)

- Nucl.Phys.B 480 (1996) 657-688
•
e-Print:
- hep-ph/9603384
•
DOI:
- 10.1016/S0550-3213(96)00445-2

Improved Hamiltonian for Minkowski Yang-Mills theory

Guy D. Moore
(
- Princeton U.
)

- Nucl.Phys.B 480 (1996) 689-728
•
e-Print:
- hep-lat/9605001
•
DOI:
- 10.1016/S0550-3213(96)00497-X

Chern-Simons diffusion rate near the electroweak phase transition for m(H) approximates m(W)

Wai-Hung Tang
(
- Amsterdam U.
)
,
Jan Smit
(
- Amsterdam U.
)

- Nucl.Phys.B 482 (1996) 265-285
•
e-Print:
- hep-lat/9605016
•
DOI:
- 10.1016/S0550-3213(96)00481-6

Classical field dynamics of the electroweak phase transition

Guy D. Moore
(
- Princeton U.
)
,
Neil Turok
(
- Cambridge U.
)

- Phys.Rev.D 55 (1997) 6538-6560
•
e-Print:
- hep-ph/9608350
•
DOI:
- 10.1103/PhysRevD.55.6538

Classical fields near thermal equilibrium

Carsten Greiner
(
- Giessen U.
)
,
Berndt Muller
(
- Duke U.
)

- Phys.Rev.D 55 (1997) 1026-1046
•
e-Print:
- hep-th/9605048
•
DOI:
- 10.1103/PhysRevD.55.1026

Generic rules for high temperature dimensional reduction and their application to the standard model

- Nucl.Phys.B 458 (1996) 90-136
•
e-Print:
- hep-ph/9508379
•
DOI:
- 10.1016/0550-3213(95)00549-8

The Electroweak phase transition: A Nonperturbative analysis

K. Kajantie
(
- Helsinki U. and
- CERN
)
,
M. Laine
(
- Helsinki U. and
- Heidelberg U.
)
,
K. Rummukainen
(
- Indiana U.
)
,
Mikhail E. Shaposhnikov
(
- CERN
)

- Nucl.Phys.B 466 (1996) 189-258
•
e-Print:
- hep-lat/9510020
•
DOI:
- 10.1016/0550-3213(96)00052-1

Really computing nonperturbative real time correlation functions

- Phys.Rev.D 52 (1995) 4675-4690
•
e-Print:
- hep-th/9504123
•
DOI:
- 10.1103/PhysRevD.52.4675

Resummation in a hot scalar field theory

Rajesh R. Parwani
(
- SUNY, Stony Brook
)

- Phys.Rev.D 45 (1992) 4695,
- Phys.Rev.D 48 (1993) 5965 (erratum)
•
e-Print:
- hep-ph/9204216
•
DOI:
- 10.1103/PhysRevD.45.4695

The plasmon in hot phi**4 theory

En-ke Wang
(
- Regensburg U.
)
,
Ulrich W. Heinz
(
- Regensburg U.
)

- Phys.Rev.D 53 (1996) 899-910
•
e-Print:
- hep-ph/9509333
•
DOI:
- 10.1103/PhysRevD.53.899

Classical real time correlation functions and quantum corrections at finite temperature

Dietrich Bodeker
(
- Heidelberg U.
)

- Nucl.Phys.B 486 (1997) 500-514
•
e-Print:
- hep-th/9609170
•
DOI:
- 10.1016/S0550-3213(96)00688-8

The Hot baryon violation rate is O (alpha-w5 T4)

- Phys.Rev.D 55 (1997) 6264-6273
•
e-Print:
- hep-ph/9609481
•
DOI:
- 10.1103/PhysRevD.55.6264