Magnetic Monopoles and the Phase Transition of Compact U(1) Lattice Gauge Theory in Four-dimensions

Barber, James S.

doi:10.1016/0370-2693(84)90127-8

Magnetic Monopoles and the Phase Transition of Compact U(1) Lattice Gauge Theory in Four-dimensions

James S. Barber
(
- SUNY, Stony Brook
)

Jul, 1984

5 pages

Published in:

Phys.Lett.B 147 (1984) 330-334

Published: 1984

DOI:

10.1016/0370-2693(84)90127-8

Report number:

ITP-SB-84-37

View in:

ADS Abstract Service

reference search24 citations

Citations per year

Abstract: (Elsevier)

We show that near the critical coupling of the compact U(1) lattice gauge theory in four dimensions the magnetic monopole number density exhibits the same long-term fluctuations between pairs of metastable states as the plaquette action. The transitions between these pairs of states occur synchronously for the monopole number density and the plaquette action. The correlation between the plaquette action and the monopole number density is found to be quite strong near the phase transition, and diminishes as the coupling deviaes from critical coupling.

GAUGE FIELD THEORY: U(1)
LATTICE FIELD THEORY: CRITICAL PHENOMENA
POSTULATED PARTICLE: MAGNETIC MONOPOLE
DENSITY: MAGNETIC MONOPOLE
NUMERICAL CALCULATIONS: MONTE CARLO

References(28)

Figures(0)

MASSLESS PHASES AND SYMMETRY RESTORATION IN ABELIAN GAUGE THEORIES AND SPIN SYSTEMS

J. Frohlich
(
- IHES, Bures-sur-Yvette
)
,
T. Spencer
(
- New York U.
)

- Commun.Math.Phys. 83 (1982) 411-454,
- Commun. Math. Phys. 83 ( 1982) 411-454
•
DOI:
- 10.1007/BF01213610

Gauge Field Theories on the Lattice

K. Osterwalder
(
- Harvard U.
)
,
E. Seiler
(
- Princeton U.
)

- Annals Phys. 110 (1978) 440,
- Salerno Soliton Wkshp.1977:0201
•
DOI:
- 10.1016/0003-4916(78)90039-8

Existence Proof of a Nonconfining Phase in Four-Dimensional U(1) Lattice Gauge Theory

Alan H. Guth
(
- Cornell U., LNS
)

- Phys.Rev.D 21 (1980) 2291
•
DOI:
- 10.1103/PhysRevD.21.2291

Theory of one-dimensional and two-dimensional magnets with an easy magnetization plane. 2. The Planar, classical, two-dimensional magnet

J. Villain
(
- Grenoble, CEN
)

- J.Phys.(France) 36 (1975) 581-590
•
DOI:
- 10.1051/jphys:01975003606058100

Gauge Transitions in Gauge and Spin Lattice Systems

Alexander A. Migdal
(
- Landau Inst.
)

- Sov.Phys.JETP 42 (1975) 743,
- Zh.Eksp.Teor.Fiz. 69 (1975) 1457

Notes on Migdal's Recursion Formulas

L.P. Kadanoff
(
- Chicago U., EFI
)

- Annals Phys. 100 (1976) 359-394
•
DOI:
- 10.1016/0003-4916(76)90066-X

Lectures on the Application of Renormalization Group Techniques to Quarks and Strings

Leo P. Kadanoff
(
- Brown U.
)

- Rev.Mod.Phys. 49 (1977) 267-296,
- In *Sitges 1976, Critical Phenomena, Lecture Notes In Physics, Vol.54*, 274-347
•
DOI:
- 10.1103/RevModPhys.49.267

- Annals Phys. 120 39

Order and Disorder in Gauge Systems and Magnets

Eduardo H. Fradkin
(
- SLAC
)
,
Leonard Susskind
(
- SLAC and
- Tel Aviv U.
)

- Phys.Rev.D 17 (1978) 2637
•
DOI:
- 10.1103/PhysRevD.17.2637

UNIVERSAL PROPERTIES OF U(1) GAUGE THEORIES

John L. Cardy
(
- UC, Santa Barbara
)

- Nucl.Phys.B 170 (1980) 369-387
•
DOI:
- 10.1016/0550-3213(80)90417-4

Ordering, metastability and phase transitions in two-dimensional systems

J.M. Kosterlitz
(
- Birmingham U.
)
,
D.J. Thouless
(
- Birmingham U.
)

- J.Phys.C 6 (1973) 1181-1203,
- In *Thouless, D.J.: Topological quantum numbers in nonrelativistic physics* 349-371
•
DOI:
- 10.1088/0022-3719/6/7/010

- J.Phys.C 7 1046

Renormalization, vortices, and symmetry breaking perturbations on the two-dimensional planar model

Jorge V. Jose
(
- Brown U.
)
,
Leo P. Kadanoff
(
- Brown U.
)
,
Scott Kirkpatrick
(
- SUNY, Stony Brook and
- IBM Watson Res. Ctr.
)
,
David R. Nelson
(
- Harvard U.
)

- Phys.Rev.B 16 (1977) 1217-1241
•
DOI:
- 10.1103/PhysRevB.16.1217

- Phys.Lett.B 59 1475

{QED} on a Lattice: A Hamiltonian Variational Approach to the Physics of the Weak Coupling Region

- Phys.Rev.D 19 (1979) 619
•
DOI:
- 10.1103/PhysRevD.19.619

Topological Excitations in U(1) Invariant Theories

Robert Savit
(
- Fermilab
)

- Phys.Rev.Lett. 39 (1977) 55
•
DOI:
- 10.1103/PhysRevLett.39.55

Phase Transitions in Abelian Lattice Gauge Theories

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

Mandelstam 't Hooft Duality in Abelian Lattice Models

Michael E. Peskin
(
- Harvard U.
)

- Annals Phys. 113 (1978) 122
•
DOI:
- 10.1016/0003-4916(78)90252-X

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

Phase Transition in Four-Dimensional Compact QED

B.E. Lautrup
(
- CERN
)
,
M. Nauenberg
(
- CERN
)

- Phys.Lett.B 95 (1980) 63-66,
- In *Rebbi, C. ( Ed.): Lattice Gauge Theories and Monte Carlo Simulations*, 190-193. ( Phys. Lett. B95 (1980) 63-66) and CERN Geneva - TH. 2873 (80,REC.JUL.) 9p
•
DOI:
- 10.1016/0370-2693(80)90400-1

The Nature of the Phase Transition in Compact {QED}

Gyan Bhanot
(
- Brookhaven
)

- Phys.Rev.D 24 (1981) 461
•
DOI:
- 10.1103/PhysRevD.24.461

The Potential in Lattice U(1) Gauge Theory

Thomas A. DeGrand
(
- UC, Santa Barbara
)
,
Doug Toussaint
(
- Santa Barbara, KITP and
- UC, Santa Barbara
)

- Phys.Rev.D 24 (1981) 466
•
DOI:
- 10.1103/PhysRevD.24.466

Monte Carlo Study of the Plaquette-plaquette Correlations for Four-dimensional Compact U(1) Gauge Theory

- Phys.Lett.B 112 (1982) 233-236
•
DOI:
- 10.1016/0370-2693(82)90969-8

Monte Carlo Study of Compact U(1) Four-dimensional Lattice Gauge Theory

K.J.M. Moriarty
(
- DESY and
- Dalhousie U. and
- Royal Holloway, U. of London
)

- Phys.Rev.D 25 (1982) 2185
•
DOI:
- 10.1103/PhysRevD.25.2185

How Well Do Monte Carlo Simulations Distinguish Between U(1) and SU(2)?: A Study of the String Tension in U(1) Lattice Gauge Theory

D.G. Caldi
(
- Munich, Max Planck Inst.
)

- Nucl.Phys.B 220 (1983) 48-60,
- Nucl. Phys. B220 (1983) 48-60 and Muenchen Mpi Phys. Astrophys. - MPI-PAE-PTH 82-64 (82,REC.OCT.) 22 P. (211397)
•
DOI:
- 10.1016/0550-3213(83)90133-5

1-25 of 28
1
2
25 / page