Chiral symmetry breaking in a uniform external magnetic field

Lee, D.S.; Leung, Chung Ngoc; Ng, Y.J.

doi:10.1103/PhysRevD.55.6504

Chiral symmetry breaking in a uniform external magnetic field

D.S. Lee
(
- Taiwan, Inst. Phys. and
- Soochow U. and
- North Carolina U.
)
,
Chung Ngoc Leung
(
- Delaware U.
)
,
Y.J. Ng
(
- North Carolina U.
)

Jan, 1997

21 pages

Published in:

Phys.Rev.D 55 (1997) 6504-6513

e-Print:

hep-th/9701172 [hep-th]

DOI:

10.1103/PhysRevD.55.6504

Report number:

UDHEP-12-96

View in:

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Abstract:

Using the nonperturbative Schwinger-Dyson equation, we show that chiral symmetry is dynamically broken in QED at weak couplings when an external magnetic field is present, and that chiral symmetry is restored at temperatures above

T_c \simeq \alpha\pi~2/\sqrt{2 \pi |eH|}

, where

\alpha

is the fine structure constant and

H

is the magnetic field strength.

Note:

21 pages, TeX

11.30.Rd
12.20.Ds
11.30.Qc
quantum electrodynamics
symmetry: chiral
dynamical symmetry breaking
magnetic field: external field
Dyson-Schwinger equation: nonperturbative
finite temperature
Goldstone particle

References(13)

Figures(0)

Schwinger-Dyson equation approach to chiral symmetry breaking in an external magnetic field

Chung Ngoc Leung
(
- Delaware U. and
- North Carolina U.
)
,
Y.J. Ng
(
- North Carolina U. and
- MIT, LNS and
- Princeton, Inst. Advanced Study
)
,
A.W. Ackley
(
- North Carolina U.
)

- Phys.Rev.D 54 (1996) 4181-4184
•
e-Print:
- hep-th/9512114
•
DOI:
- 10.1103/PhysRevD.54.4181

Dynamical chiral symmetry breaking by a magnetic field in QED

- Phys.Rev.D 52 (1995) 4747-4751
•
e-Print:
- hep-ph/9501304
•
DOI:
- 10.1103/PhysRevD.52.4747

Dimensional reduction and catalysis of dynamical symmetry breaking by a magnetic field

V.P. Gusynin
(
- BITP, Kiev and
- Groningen U.
)
,
V.A. Miransky
(
- BITP, Kiev and
- UCLA
)
,
I.A. Shovkovy
(
- BITP, Kiev
)

- Nucl.Phys.B 462 (1996) 249-290
•
e-Print:
- hep-ph/9509320
•
DOI:
- 10.1016/0550-3213(96)00021-1

RG analysis of magnetic catalysis in dynamical symmetry breaking

Deog Ki Hong
(
- Pusan Natl. U. and
- Florida U.
)
,
Youngman Kim
,
Sang-Jin Sin
(
- Hanyang U.
)

- Phys.Rev.D 54 (1996) 7879-7883
•
e-Print:
- hep-th/9603157
•
DOI:
- 10.1103/PhysRevD.54.7879

Symmetry Behavior at Finite Temperature

L. Dolan
(
- MIT, LNS
)
,
R. Jackiw
(
- MIT, LNS
)

- Phys.Rev.D 9 (1974) 3320-3341
•
DOI:
- 10.1103/PhysRevD.9.3320

Casimir Effect in Dielectrics

- Annals Phys. 115 (1978) 1-23,
•
DOI:
- 10.1016/0003-4916(78)90172-0

Inflation Produced, Large Scale Magnetic Fields

Michael S. Turner
(
)
,
Lawrence M. Widrow
(
)

- Phys.Rev.D 37 (1988) 2743
•
DOI:
- 10.1103/PhysRevD.37.2743

Magnetic fields produced by phase transition bubbles in the electroweak phase transition

- Phys.Rev.D 53 (1996) 662-667
•
e-Print:
- hep-ph/9507429
•
DOI:
- 10.1103/PhysRevD.53.662

Large scale magnetic fields from hydromagnetic turbulence in the very early universe

- Phys.Rev.D 54 (1996) 1291-1300
•
e-Print:
- astro-ph/9602031
•
DOI:
- 10.1103/PhysRevD.54.1291

Nonperturbative Study of {QED} in a Strong Coulomb Field

Elbio Dagotto
(
- Illinois U., Urbana
)
,
H.W. Wyld
(
- Illinois U., Urbana
)

- Phys.Lett.B 205 (1988) 73-78
•
DOI:
- 10.1016/0370-2693(88)90402-9

The Dilaton and Chiral Symmetry Breaking

William A. Bardeen
(
- Fermilab
)
,
Chung Ngoc Leung
(
- Fermilab and
- Purdue U.
)
,
S.T. Love
(
- Purdue U.
)

- Phys.Rev.Lett. 56 (1986) 1230
•
DOI:
- 10.1103/PhysRevLett.56.1230

Spontaneous Symmetry Breaking in Scale Invariant Quantum Electrodynamics

Chung Ngoc Leung
(
- Purdue U.
)
,
S.T. Love
(
- Purdue U.
)
,
William A. Bardeen
(
- Kyoto U., Yukawa Inst., Kyoto
)

- Nucl.Phys.B 273 (1986) 649-662
•
DOI:
- 10.1016/0550-3213(86)90382-2

Aspects of Dynamical Symmetry Breaking in Gauge Field Theories

- Nucl.Phys.B 323 (1989) 493-512
•
DOI:
- 10.1016/0550-3213(89)90121-1