First Order Phase Transition in Compact Lattice {QED} With Light Fermions

Kogut, John B.; Dagotto, Elbio

doi:10.1103/PhysRevLett.59.617

First Order Phase Transition in Compact Lattice {QED} With Light Fermions

May, 1987

16 pages

Published in:

Phys.Rev.Lett. 59 (1987) 617

DOI:

10.1103/PhysRevLett.59.617

Report number:

ILL-TH-87-25

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Abstract: (APS)

We present a numerical study of lattice (compact) QED with dynamical fermions using hybrid stochastic differential equations. Working with an 84 lattice and fermions of mass 0.10 (lattice units), we have found an unexpected first-order transition separating the strong- and weak-coupling regions.

QUANTUM ELECTRODYNAMICS
LATTICE FIELD THEORY: CRITICAL PHENOMENA
FERMION
DIFFERENTIAL EQUATIONS: STOCHASTIC
NUMERICAL CALCULATIONS: MONTE CARLO

References(22)

Figures(0)

Compact {QED} With an Extended Lattice Action

Gyan Bhanot
(
- Princeton, Inst. Advanced Study
)

- Nucl.Phys.B 205 (1982) 168-172
•
DOI:
- 10.1016/0550-3213(82)90382-0

Mean Field With Corrections Approach to the Mixed U(1) Lattice Gauge Theory

Elbio Dagotto
(
- Centro Atomico Bariloche and
- Cuyo U.
)

- Phys.Rev.D 30 (1984) 1276
•
DOI:
- 10.1103/PhysRevD.30.1276

Tricritical Point in Lattice {QED}

H.G. Evertz
(
- Aachen, Tech. Hochsch.
)
,
J. Jersak
(
- Aachen, Tech. Hochsch.
)
,
T. Neuhaus
(
- Aachen, Tech. Hochsch.
)
,
P.M. Zerwas
(
- Aachen, Tech. Hochsch.
)

- Nucl.Phys.B 251 (1985) 279-298
•
DOI:
- 10.1016/0550-3213(85)90262-7

Phase Transitions in Abelian Lattice Gauge Theories

- Nucl.Phys.B 129 (1977) 493-510
•
DOI:
- 10.1016/0550-3213(77)90129-8

Numerical Analysis of Accelerated Stochastic Algorithms Near a Critical Temperature

- Phys.Rev.Lett. 58 (1987) 299
•
DOI:
- 10.1103/PhysRevLett.58.299

Quantum electrodynamics at small distances

Murray Gell-Mann
(
- Illinois U., Urbana
)
,
F.E. Low
(
- Illinois U., Urbana
)

- Phys.Rev. 95 (1954) 1300-1312
•
DOI:
- 10.1103/PhysRev.95.1300

Dynamical Symmetry Breaking and Particle Mass Generation in Gauge Field Theories

- Riv.Nuovo Cim. 6N5 (1983) 1-90

Dynamics of Spontaneous Chiral Symmetry Breaking and Continuum Limit in Quantum Electrodynamics

V.A. Miransky
(
- BITP, Kiev
)

- Nuovo Cim.A 90 (1985) 149-170
•
DOI:
- 10.1007/BF02724229

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

Scale Invariant Technicolor Model and a Technidilaton

- Phys.Rev.Lett. 56 (1986) 1335
•
DOI:
- 10.1103/PhysRevLett.56.1335

Spontaneous Symmetry Breaking in Vector-Gluon Model

Toshihide Maskawa
(
- Kyoto U.
)
,
Hideo Nakajima
(
- Kyoto U.
)

- Prog.Theor.Phys. 52 (1974) 1326-1354
•
DOI:
- 10.1143/PTP.52.1326

Spontaneous Breaking of Chiral Symmetry in a Vector-Gluon Model. 2.

Toshihide Maskawa
(
- Kyoto U.
)
,
Hideo Nakajima
(
- Kyoto U.
)

- Prog.Theor.Phys. 54 (1975) 860
•
DOI:
- 10.1143/PTP.54.860

Schwinger-Dyson Equation for Massless Vector Theory and Absence of Fermion Pole

- Nucl.Phys.B 117 (1976) 250-264
•
DOI:
- 10.1016/0550-3213(76)90572-1

Hierarchic Chiral Condensate

T. Akiba
(
- Tohoku U.
)
,
T. Yanagida
(
- Tohoku U.
)

- Phys.Lett.B 169 (1986) 432-435
•
DOI:
- 10.1016/0370-2693(86)90385-0

Monte Carlo Study of Abelian Lattice Gauge Theories

- Phys.Rev.D 20 (1979) 1915,
- In *Rebbi, C. ( Ed.): Lattice Gauge Theories and Monte Carlo Simulations*, 182-189. ( Phys. Rev. D20 ( 1979) 1915-1922) and Brookhaven Nat. Lab. Upton - BNL-26307 (79,REC.SEP.) 36p
•
DOI:
- 10.1103/PhysRevD.20.1915

The Nature of the Transition in $d=4$ U(1) Lattice Gauge Theory

- Phys.Lett.B 172 (1986) 86-92
•
DOI:
- 10.1016/0370-2693(86)90221-2

Renormalization of Charge in Villain Lattice Gauge Theory

H. Kleinert
(
- UC, San Diego
)
,
W. Miller
(
- Freie U., Berlin
)

- Phys.Rev.Lett. 56 (1986) 11-13,
- Phys. Rev. Lett. 56 ( 1986) 11-13
•
DOI:
- 10.1103/PhysRevLett.56.11

The Phases and Mass Spectrum With Quantum Kinks of the $Z$ (4) Symmetric $\phi^4$ in Two-dimensions Theory

E.C. Marino
(
- Harvard U.
)

- Nucl.Phys.B 230 (1984) 149-171
•
DOI:
- 10.1016/0550-3213(84)90121-4

A Numerical Study of Lattice {QED} With Dynamical Fermions

- Phys.Lett.B 175 (1986) 202-205
•
DOI:
- 10.1016/0370-2693(86)90716-1

The Theory of Hybrid Stochastic Algorithms

S. Duane
(
- Illinois U., Urbana
)
,
J.B. Kogut
(
- Illinois U., Urbana
)

- Nucl.Phys.B 275 (1986) 398-420
•
DOI:
- 10.1016/0550-3213(86)90606-1

U(1) Lattice Gauge Theory Near the Phase Transition

J. Jersak
(
- Aachen, Tech. Hochsch.
)
,
T. Neuhaus
(
- Aachen, Tech. Hochsch.
)
,
P.M. Zerwas
(
- Aachen, Tech. Hochsch.
)

- Phys.Lett.B 133 (1983) 103-107
•
DOI:
- 10.1016/0370-2693(83)90115-6