On the Order of the Finite Temperature Deconfinement Phase Transition in $Z$(2) and $Z$(3) Lattice Gauge Theories

Gavai, R.V.; Karsch, F.

doi:10.1016/0370-2693(83)91313-8

On the Order of the Finite Temperature Deconfinement Phase Transition in $Z$ (2) and $Z$ (3) Lattice Gauge Theories

R.V. Gavai
(
- Bielefeld, ZIF and
- Bielefeld U.
)
,
F. Karsch
(
- CERN
)

Feb, 1983

5 pages

Published in:

Phys.Lett.B 125 (1983) 406-410

Published: 1983

DOI:

10.1016/0370-2693(83)91313-8

Report number:

CERN-TH-3524

View in:

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Abstract: (Elsevier)

Using Monte Carlo methods, we show that the finite temperature deconfinement phase transition in Z(3) lattice gauge theory is of first order by presenting evidence for the coexistence of the two phases in the transition region. A similar study for the Z(2) theory, however, failed to yield any such evidence, thus indicating the corresponding transition to be of higher order.

LATTICE FIELD THEORY: CRITICAL PHENOMENA
GAUGE FIELD THEORY: Z(2)
GAUGE FIELD THEORY: Z(3)
FIELD THEORY: FINITE TEMPERATURE
FIELD THEORY: FOUR-DIMENSIONAL
DUALITY
NUMERICAL CALCULATIONS: MONTE CARLO

References(16)

Figures(0)

Thermal Properties of Gauge Fields and Quark Liberation

Alexander M. Polyakov
(
- ICTP, Trieste
)

- Phys.Lett.B 72 (1978) 477-480
•
DOI:
- 10.1016/0370-2693(78)90737-2

Lattice Models of Quark Confinement at High Temperature

Leonard Susskind
(
- SLAC and
- Tel Aviv U.
)

- Phys.Rev.D 20 (1979) 2610-2618
•
DOI:
- 10.1103/PhysRevD.20.2610

A Monte Carlo Study of SU(2) Yang-Mills Theory at Finite Temperature

Larry D. McLerran
(
- SLAC
)
,
Benjamin Svetitsky
(
- SLAC
)

- Phys.Lett.B 98 (1981) 195,
- In *Rebbi, C. ( Ed.): Lattice Gauge Theories and Monte Carlo Simulations*, 283-286. ( Phys. Lett. B98 (1981) 195-198) and SLAC Stanford - SLAC-PUB-2572 (80,REC.SEP.) 12p
•
DOI:
- 10.1016/0370-2693(81)90986-2

Monte Carlo Study of SU(2) Gauge Theory at Finite Temperature

- Phys.Lett.B 98 (1981) 199,
- In *Bielefeld 1980, Proceedings, Statistical Mechanics Of Quarks and Hadrons*, 157-170,
- In *Rebbi, C. ( Ed.): Lattice Gauge Theories and Monte Carlo Simulations*, 287-204. ( Phys. Lett. B98 (1981) 199-204) and Budapest Cent. Res. Inst. Phys. - KFKI-80-067 (80,REC.SEP.) 16 P. (010502) (SEE BOOK INDEX)
•
DOI:
- 10.1016/0370-2693(81)90987-4

High Temperature SU(2) Gluon Matter on the Lattice

- Phys.Lett.B 101 (1981) 89,
- In *Rebbi, C. ( Ed.): Lattice Gauge Theories and Monte Carlo Simulations*, 293-298. ( Phys. Lett. B101 (1981) 89-94) and Bielefeld Univ. - BI-TP-80-34 (80,REC.JAN.81) 15p
•
DOI:
- 10.1016/0370-2693(81)90497-4

Phase Transition of SU(3) Gauge Theory at Finite Temperature

- Z.Phys.C 9 (1981) 253
•
DOI:
- 10.1007/BF01410665

Critical Behavior at Finite Temperature Confinement Transitions

Benjamin Svetitsky
(
- Santa Barbara, KITP and
- Cornell U., LNS
)
,
Laurence G. Yaffe
(
- Caltech
)

- Nucl.Phys.B 210 (1982) 423-447
•
DOI:
- 10.1016/0550-3213(82)90172-9

Deconfinement and Chiral Symmetry Restoration at Finite Temperatures in SU(2) and SU(3) Gauge Theories

John B. Kogut
(
- Illinois U., Urbana
)
,
M. Stone
(
- Illinois U., Urbana
)
,
H.W. Wyld
(
- Illinois U., Urbana
)
,
W.R. Gibbs
(
- Los Alamos
)
,
J. Shigemitsu
(
- Ohio State U.
)

et al.

- Phys.Rev.Lett. 50 (1983) 393,
- Phys. Rev. Lett. 50 (1983) 393-396 and Illinois Univ. Urbana - ILL-(TH)-82-39 (82,REC.DEC.) 15p
•
DOI:
- 10.1103/PhysRevLett.50.393

Experiments with a Gauge Invariant Ising System

- Phys.Rev.Lett. 42 (1979) 1390
•
DOI:
- 10.1103/PhysRevLett.42.1390

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

Is the Phase Transition of the Three-State Potts Model Continuous in Three Dimensions?

S.J. Knak Jensen
(
- Aarhus U.
)
,
O.G. Mouritsen
(
- Aarhus U.
)

- Phys.Rev.Lett. 43 (1979) 1736-1739
•
DOI:
- 10.1103/PhysRevLett.43.1736

$Z$ ( $N$ ) and $N$ State Potts Lattice Gauge Theories: Phase Diagrams, First Order Transitions, Beta Functions and $1/N$ Expansions

J.B. Kogut
(
- Illinois U., Urbana
)
,
R.B. Pearson
(
- Santa Barbara, KITP
)
,
J. Shigemitsu
(
- Princeton, Inst. Advanced Study
)
,
D.K. Sinclair
(
- Rockefeller U.
)

- Phys.Rev.D 22 (1980) 2447
•
DOI:
- 10.1103/PhysRevD.22.2447

Relationship between d-Dimensional Quantal Spin Systems and (d+1)-Dimensional Ising Systems: Equivalence, Critical Exponents and Systematic Approximants of the Partition Function and Spin Correlations

Masuo Suzuki

- Prog.Theor.Phys. 56 (1976) 5, 1454-1469
•
DOI:
- 10.1143/PTP.56.1454

QUANTUM POTTS GAUGE - MATTER SYSTEMS AT FINITE TEMPERATURE

Yadin Y. Goldschmidt
(
- Brown U.
)
,
Junko Shigemitsu
(
- Brown U.
)

- Nucl.Phys.B 200 (1982) 149-210
•
DOI:
- 10.1016/0550-3213(82)90064-5

Gauge Field Thermodynamics for the SU(2) Yang-Mills System

- Nucl.Phys.B 205 (1982) 545-577
•
DOI:
- 10.1016/0550-3213(82)90077-3

Monte Carlo Study of Quantized SU(2) Gauge Theory

M. Creutz
(
- Brookhaven
)

- Phys.Rev.D 21 (1980) 2308-2315,
- Reprinted in *Rebbi, C. (ed.): Lattice Gauge Theories and Monte Carlo Simulations*, 258-265
•
DOI:
- 10.1103/PhysRevD.21.2308

On the Order of the Finite Temperature Deconfinement Phase Transition in ZZZ(2) and ZZZ(3) Lattice Gauge Theories

Citations per year

On the Order of the Finite Temperature Deconfinement Phase Transition in $Z$ (2) and $Z$ (3) Lattice Gauge Theories