On the effective dynamics of soft nonAbelian gauge fields at finite temperature - INSPIRE

DataBETA

On the effective dynamics of soft nonAbelian gauge fields at finite temperature

Dietrich Bodeker
(
- Heidelberg U.
)

Jan, 1998

16 pages

Published in:

Phys.Lett.B 426 (1998) 351-360

e-Print:

hep-ph/9801430 [hep-ph]

DOI:

10.1016/S0370-2693(98)00279-2

Report number:

HD-THEP-98-04

View in:

ADS Abstract Service

reference search306 citations

Citations per year

Abstract:

We consider time dependent correlation functions of non-abelian gauge fields at finite temperature. An effective theory for the soft (

p\sim g^2 T

) field modes is derived by integrating out the field modes with momenta of order

T

and of order

g T

in a leading logarithmic approximation. In this effective theory the time evolution of the soft fields is determined by a local Langevin-type equation. As an application, the rate for hot electroweak baryon number violation is estimated as

\Gamma \sim g^2 \log(1/g) (g^2 T)^4

. Furthermore, possible consequences for non-perturbative lattice computations of unequal time correlation functions are discussed.

Note:

LaTeX, 15 pages, 3 postscript figures, uses epsf.sty; title shortened, some typos corrected, one reference changed, one reference added, to appear in Phys. Lett. B Report-no: HD-THEP-98-04

11.10.Wx
11.15.Kc
11.30.Fs
Finite temperature
Real time correlation functions
Non-Abelian gauge theory
Non-perturbative
Baryon number violation
Lattice
gauge field theory: Yang-Mills

References(46)

Figures(0)

Infrared Problem in Thermodynamics of the Yang-Mills Gas

Andrei D. Linde
(
- Lebedev Inst.
)

- Phys.Lett.B 96 (1980) 289-292
•
DOI:
- 10.1016/0370-2693(80)90769-8

QCD and Instantons at Finite Temperature

- Rev.Mod.Phys. 53 (1981) 43
•
DOI:
- 10.1103/RevModPhys.53.43

Electroweak baryon number nonconservation in the early universe and in high-energy collisions

V.A. Rubakov
(
- Moscow, INR
)
,
M.E. Shaposhnikov
(
- CERN and
- Moscow, INR
)

- Usp.Fiz.Nauk 166 (1996) 493-537,
- Phys.Usp. 39 (1996) 461-502,
- Phys. Usp. 39 (1996) 1276. (Erratum)
•
e-Print:
- hep-ph/9603208
•
DOI:
- 10.1070/PU1996v039n05ABEH000145

3-D physics and the electroweak phase transition: Perturbation theory

K. Farakos
(
- Natl. Tech. U., Athens
)
,
K. Kajantie
(
- Helsinki U.
)
,
K. Rummukainen
(
- Indiana U.
)
,
Mikhail E. Shaposhnikov
(
- CERN
)

- Nucl.Phys.B 425 (1994) 67-109
•
e-Print:
- hep-ph/9404201
•
DOI:
- 10.1016/0550-3213(94)90173-2

3-d physics and the electroweak phase transition: A Framework for lattice Monte Carlo analysis

K. Farakos
(
- Natl. Tech. U., Athens
)
,
K. Kajantie
(
- Helsinki U.
)
,
K. Rummukainen
(
- Indiana U.
)
,
Mikhail E. Shaposhnikov
(
- CERN
)

- Nucl.Phys.B 442 (1995) 317-363
•
e-Print:
- hep-lat/9412091
•
DOI:
- 10.1016/0550-3213(95)80129-4

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

A Hierarchy of effective field theories of hot electroweak matter

A. Jakovac
(
- Eotvos U.
)
,
K. Kajantie
(
- Helsinki U.
)
,
A. Patkos
(
- Eotvos U. and
- Bohr Inst.
)

- Phys.Rev.D 49 (1994) 6810-6821
•
e-Print:
- hep-ph/9312355
•
DOI:
- 10.1103/PhysRevD.49.6810

Effective field theory approach to high temperature thermodynamics

Eric Braaten
(
- Northwestern U.
)
,
Agustin Nieto
(
- Northwestern U.
)

- Phys.Rev.D 51 (1995) 6990-7006
•
e-Print:
- hep-ph/9501375
•
DOI:
- 10.1103/PhysRevD.51.6990

Is there a hot electroweak phase transition at $m_H \gtrsim m_W$ ?

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

- Phys.Rev.Lett. 77 (1996) 2887-2890
•
e-Print:
- hep-ph/9605288
•
DOI:
- 10.1103/PhysRevLett.77.2887

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

A Nonperturbative analysis of the finite T phase transition in SU(2) x U(1) electroweak theory

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

- Nucl.Phys.B 493 (1997) 413-438
•
e-Print:
- hep-lat/9612006
•
DOI:
- 10.1016/S0550-3213(97)00164-8

3-d lattice simulation of the electroweak phase transition at small Higgs mass

Ernst-Michael Ilgenfritz
(
- Humboldt U., Berlin
)
,
J. Kripfganz
(
- Heidelberg U.
)
,
H. Perlt
(
- Leipzig U.
)
,
A. Schiller
(
- Leipzig U.
)

- Phys.Lett.B 356 (1995) 561-566
•
e-Print:
- hep-lat/9506023
•
DOI:
- 10.1016/0370-2693(95)00856-G

Three-dimensional approach to hot electroweak matter for M(Higgs) <= 70-GeV

M. Gurtler
(
- Leipzig U.
)
,
Ernst-Michael Ilgenfritz
(
- Humboldt U., Berlin
)
,
J. Kripfganz
(
- Heidelberg U.
)
,
H. Perlt
(
- Leipzig U.
)
,
A. Schiller
(
- Leipzig U.
)

- Nucl.Phys.B Proc.Suppl. 49 (1996) 312-318,
•
e-Print:
- hep-lat/9512022
•
DOI:
- 10.1016/0920-5632(96)00350-7

Three-dimensional lattice studies of the electroweak phase transition at M (Higgs) approximates 70-GeV

M. Gurtler
(
- Leipzig U.
)
,
Ernst-Michael Ilgenfritz
(
- Humboldt U., Berlin
)
,
J. Kripfganz
(
- Heidelberg U.
)
,
H. Perlt
(
- Leipzig U.
)
,
A. Schiller
(
- Leipzig U.
)

- Nucl.Phys.B 483 (1997) 383-415
•
e-Print:
- hep-lat/9605042
•
DOI:
- 10.1016/S0550-3213(96)00594-9

Measuring the interface tension when the electroweak phase transition becomes weak

M. Gurtler
(
- Leipzig U.
)
,
Ernst-Michael Ilgenfritz
(
- Humboldt U., Berlin
)
,
A. Schiller
(
- Leipzig U.
)

- Eur.Phys.J.C 1 (1998) 363-368
•
e-Print:
- hep-lat/9702020
•
DOI:
- 10.1007/BF01245826

Where the electroweak phase transition ends

M. Gurtler
(
- Leipzig U.
)
,
Ernst-Michael Ilgenfritz
(
- Humboldt U., Berlin
)
,
A. Schiller
(
- Leipzig U.
)

- Phys.Rev.D 56 (1997) 3888-3895
•
e-Print:
- hep-lat/9704013
•
DOI:
- 10.1103/PhysRevD.56.3888

Gauge boson masses in the 3-D, SU(2) gauge Higgs model

- Nucl.Phys.B 474 (1996) 217-234
•
e-Print:
- hep-lat/9603004
•
DOI:
- 10.1016/0550-3213(96)00224-6

On the mass spectrum of the SU(2) Higgs model in (2+1)- dimensions

- Nucl.Phys.B 469 (1996) 445-472
•
e-Print:
- hep-lat/9602006
•
DOI:
- 10.1016/0550-3213(96)00156-3

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

Phase structure and phase transition of the SU(2) Higgs model in three-dimensions

W. Buchmuller
(
- DESY
)
,
O. Philipsen
(
- DESY
)

- Nucl.Phys.B 443 (1995) 47-69
•
e-Print:
- hep-ph/9411334
•
DOI:
- 10.1016/0550-3213(95)00124-B

The Strongly interacting electroweak phase transition

B. Bergerhoff
(
- Heidelberg U.
)
,
C. Wetterich
(
- Heidelberg U.
)

- Nucl.Phys.B 440 (1995) 171-188
•
e-Print:
- hep-ph/9409295
•
DOI:
- 10.1016/0550-3213(95)00079-8

Nonperturbative correlation masses in the hot electroweak phase

Hans Gunter Dosch
(
- Heidelberg U.
)
,
Jochen Kripfganz
(
- Soft AS, Lindennaundorf
)
,
Andreas Laser
(
- Dortmund U.
)
,
Michael G. Schmidt
(
- Heidelberg U.
)

- Nucl.Phys.B 507 (1997) 519-546
•
e-Print:
- hep-ph/9612450
•
DOI:
- 10.1016/S0550-3213(97)00439-2

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

Lattice Chern-Simons number without ultraviolet problems

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

- Phys.Rev.D 56 (1997) 6533-6546
•
e-Print:
- hep-ph/9703266
•
DOI:
- 10.1103/PhysRevD.56.6533

Improved determination of the classical sphaleron transition rate

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

- Nucl.Phys.B 506 (1997) 387-403
•
e-Print:
- hep-ph/9705380
•
DOI:
- 10.1016/S0550-3213(97)00524-5

1-25 of 46
1
2
25 / page