Exact relation of lattice and continuum parameters in three-dimensional SU(2) + Higgs theories

The essential features of the high-temperature electroweak phase transition are contained in a three-dimensional super-renormalizable effective field theory. We calculate the exact counterterms needed for lattice simulations of the SU(2)-part of this theory. Scalar fields in both fundamental and adjoint representations are included. The three-dimensional U(1)+Higgs theory is also discussed.

Note:

21 pages of Latex, whole ps-file including one figure added as uuencoded compressed postscript Report-no: HU-TFT-95-23

electroweak interaction: critical phenomena
critical phenomena: electroweak interaction
finite temperature
gauge field theory: SU(2)
gauge field theory: U(1)
Higgs model
dimension: 3
regularization: lattice
renormalization
Feynman graph: higher-order

References(48)

Figures(0)

On the Anomalous Electroweak Baryon Number Nonconservation in the Early Universe

- Phys.Lett.B 155 (1985) 36,
- Trieste Int. Cent. Theor. Phys. - IC-85-008 (85,REC.MAY) 20p
•
DOI:
- 10.1016/0370-2693(85)91028-7

Baryon Asymmetry of the Universe in Standard Electroweak Theory

M.E. Shaposhnikov
(
- Aspen Ctr. Phys. and
- Moscow, INR
)

- Nucl.Phys.B 287 (1987) 757-775,
- Nucl. Phys. B287 ( 1987) 757-775
•
DOI:
- 10.1016/0550-3213(87)90127-1

Towards the theory of the electroweak phase transition

Michael Dine
(
- UC, Santa Cruz
)
,
Robert G. Leigh
(
- UC, Santa Cruz
)
,
Patrick Y. Huet
(
- SLAC
)
,
Andrei D. Linde
(
- Stanford U., Phys. Dept.
)
,
Dmitri A. Linde
(
- Gunn High School, Palo Alto
)

- Phys.Rev.D 46 (1992) 550-571
•
e-Print:
- hep-ph/9203203
•
DOI:
- 10.1103/PhysRevD.46.550

The Effective potential at finite temperature in the Standard Model

M.E. Carrington
(
- Minnesota U.
)

- Phys.Rev.D 45 (1992) 2933-2944
•
DOI:
- 10.1103/PhysRevD.45.2933

First order phase transitions in scalar electrodynamics

- Nucl.Phys.B 407 (1993) 387-411
•
DOI:
- 10.1016/0550-3213(93)90064-V

The Effective potential and first order phase transitions: Beyond leading-order

- Phys.Rev.D 47 (1993) 3546,
- Phys.Rev.D 50 (1994) 6662 (erratum)
•
e-Print:
- hep-ph/9212235
•
DOI:
- 10.1103/PhysRevD.47.3546

The Effective potential and first order phase transitions: Beyond leading-order

- Phys.Rev.D 47 (1993) 3546,
- Phys.Rev.D 50 (1994) 6662 (erratum)
•
e-Print:
- hep-ph/9212235
•
DOI:
- 10.1103/PhysRevD.47.3546

The weak electroweak phase transition

- Annals Phys. 234 (1994) 260-299
•
e-Print:
- hep-ph/9303251
•
DOI:
- 10.1006/aphy.1994.1082

Finite temperature effective potential for the Abelian Higgs model to the order e4, lambda2

Arthur Hebecker
(
- DESY
)

- Z.Phys.C 60 (1993) 271-276
•
e-Print:
- hep-ph/9307268
•
DOI:
- 10.1007/BF01474623

Thermalization of the Higgs field at the electroweak phase transition

- Nucl.Phys.B 412 (1994) 459-478
•
e-Print:
- hep-ph/9307210
•
DOI:
- 10.1016/0550-3213(94)90512-6

On the nature of the electroweak phase transition

J.R. Espinosa
(
- Madrid, Inst. Estructura Materia
)
,
M. Quiros
(
- Madrid, Inst. Estructura Materia
)
,
F. Zwirner
(
- CERN
)

- Phys.Lett.B 314 (1993) 206-216
•
e-Print:
- hep-ph/9212248
•
DOI:
- 10.1016/0370-2693(93)90450-V

Finite temperature effective potential to order g4, lambda2 and the electroweak phase transition

Zoltan Fodor
(
- DESY
)
,
Arthur Hebecker
(
- DESY
)

- Nucl.Phys.B 432 (1994) 127-146
•
e-Print:
- hep-ph/9403219
•
DOI:
- 10.1016/0550-3213(94)90596-7

Gauge invariant treatment of the electroweak phase transition

- Phys.Lett.B 331 (1994) 131-136
•
e-Print:
- hep-ph/9403391
•
DOI:
- 10.1016/0370-2693(94)90953-9

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

Thermodynamics of the electroweak phase transition

- Nucl.Phys.B 447 (1995) 317-339,
- Nucl. Phys. B447 (1995) 317-339, and Hamburg DESY - DESY-95-028 (95/02,rec.Feb.) 31 p
•
e-Print:
- hep-ph/9502321
•
DOI:
- 10.1016/0550-3213(95)00254-P

Running gauge coupling in three-dimensions and the electroweak phase transition

M. Reuter
(
- DESY
)
,
C. Wetterich
(
- Heidelberg U.
)

- Nucl.Phys.B 408 (1993) 91-132
•
DOI:
- 10.1016/0550-3213(93)90134-B

On nonperturbative effects at the high temperature electroweak phase transition

Mikhail E. Shaposhnikov
(
- CERN
)

- Phys.Lett.B 316 (1993) 112-120
•
e-Print:
- hep-ph/9306296
•
DOI:
- 10.1016/0370-2693(93)90666-6

Radiatively induced first order phase transitions: The Necessity of the renormalization group

Mark G. Alford
(
- Cornell U., LNS
)
,
John March-Russell
(
- LBL, Berkeley
)

- Nucl.Phys.B 417 (1994) 527-552
•
e-Print:
- hep-ph/9308364
•
DOI:
- 10.1016/0550-3213(94)90483-9

The epsilon expansion and the electroweak phase transition

- Phys.Rev.D 49 (1994) 3003-3032,
- Phys.Rev.D 55 (1997) 1114 (erratum)
•
e-Print:
- hep-ph/9312221
•
DOI:
- 10.1103/PhysRevD.49.3003

Confinement in three-dimensions and the electroweak phase transition

W. Buchmuller
(
- DESY
)
,
Z. Fodor
(
- DESY
)

- Phys.Lett.B 331 (1994) 124-130
•
e-Print:
- hep-ph/9403388
•
DOI:
- 10.1016/0370-2693(94)90952-0

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

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

FINITE TEMPERATURE SU(2) HIGGS MODEL ON A LATTICE

H.G. Evertz
(
- Aachen, Tech. Hochsch.
)
,
J. Jersak
(
- Aachen, Tech. Hochsch.
)
,
K. Kanaya
(
- Aachen, Tech. Hochsch.
)

- Nucl.Phys.B 285 (1987) 229-252
•
DOI:
- 10.1016/0550-3213(87)90336-1

The Finite temperature phase transition in lattice SU(2) Higgs theory at weak couplings

B. Bunk
(
- Leipzig U.
)
,
Ernst-Michael Ilgenfritz
(
- Leipzig U.
)
,
J. Kripfganz
(
- Bielefeld U.
)
,
A. Schiller
(
- Leipzig U.
)

- Nucl.Phys.B 403 (1993) 453-474
•
DOI:
- 10.1016/0550-3213(93)90043-O

Numerical simulations and the strength of the electroweak phase transition

et al.

- Phys.Lett.B 334 (1994) 405-411,
- Phys. Lett. B334 (1994) 405-411. and Hamburg DESY - DESY 94-088 (94/05,rec.Jun.) 10 p
•
e-Print:
- hep-lat/9405021
•
DOI:
- 10.1016/0370-2693(94)90706-4

1-25 of 48
1
2
25 / page