Potential and Restoration of Rotational Symmetry in SU(2) Lattice Gauge Theory

Lang, C.B.; Rebbi, C.

doi:10.1016/0370-2693(82)90813-9

Potential and Restoration of Rotational Symmetry in SU(2) Lattice Gauge Theory

C.B. Lang
(
- CERN
)
,
C. Rebbi
(
- Brookhaven
)

Mar, 1982

6 pages

Part of Proceedings, 12th International G.I.F.T Seminar, Non-Perturbative Aspects of Quantum Field Theory : Sant Feliu de Guixols, Spain, June 1-5, 1981, 322-327

Published in:

Phys.Lett.B 115 (1982) 137

Contribution to:

12th GIFT International Seminar on Theoretical Physics: Non-Perturbative Aspects of Quantum Field Theory, 322-327

Published: 1982

DOI:

10.1016/0370-2693(82)90813-9

Report number:

CERN-TH-3270

View in:

reference search100 citations

Citations per year

Abstract: (Elsevier)

We study by numerical techniques the restoration of rotational invariance in SU(2) lattice gauge theory. Results on the potential between two static sources in the fundamental representation are also represented.

GAUGE FIELD THEORY: SU(2)
GAUGE FIELD THEORY: ACTION
GAUGE FIELD THEORY: WILSON LOOP
LATTICE FIELD THEORY: CRITICAL PHENOMENA
SYMMETRY: rotation
QUARK ANTIQUARK: POTENTIAL
SCALING
field theory: finite temperature
NUMERICAL CALCULATIONS: MONTE CARLO
GAUGE FIELD THEORY: LAMBDA PARAMETER

References(21)

Figures(0)

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

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

Asymptotic Freedom Scales

Michael Creutz
(
- Brookhaven
)

- Phys.Rev.Lett. 45 (1980) 313,
- In *Rebbi, C. ( Ed.): Lattice Gauge Theories and Monte Carlo Simulations*, 266-269. ( Phys. Rev. Lett. 45 ( 1980) 313-316) and Brookhaven Nat. Lab. Upton - BNL-27752 (80,REC.JUL.) 11p
•
DOI:
- 10.1103/PhysRevLett.45.313

Confinement and the Critical Dimensionality of Space-Time

Michael Creutz
(
- Brookhaven
)

- Phys.Rev.Lett. 43 (1979) 553-556,
- Phys.Rev.Lett. 43 (1979) 890 (erratum)
•
DOI:
- 10.1103/PhysRevLett.43.553

SU(2) String Tension, Glueball Mass and Interquark Potential by Monte Carlo Computations

G. Bhanot
(
- Brookhaven
)
,
C. Rebbi
(
- CERN
)

- Nucl.Phys.B 180 (1981) 469,
- In *Rebbi, C. ( Ed.): Lattice Gauge Theories and Monte Carlo Simulations*, 299-312. ( Nucl. Phys. B180 |fs2| ( 1981) 469-482) and CERN Geneva - TH. 2979 (80,REC.JAN.81) 22p
•
DOI:
- 10.1016/0550-3213(81)90063-8

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

Quark Liberation at High Temperature: A Monte Carlo Study of SU(2) Gauge Theory

Larry D. McLerran
(
- SLAC and
- Washington U., Seattle
)
,
Benjamin Svetitsky
(
- SLAC and
- Santa Barbara, KITP
)

- Phys.Rev.D 24 (1981) 450
•
DOI:
- 10.1103/PhysRevD.24.450

The Transition From Strong Coupling to Weak Coupling in the SU(2) Lattice Gauge Theory

- Phys.Lett.B 101 (1981) 173,
- In *Rebbi, C. ( Ed.): Lattice Gauge Theories and Monte Carlo Simulations*, 460-466. ( Phys. Lett. B101 (1981) 173-179) and CERN Geneva - TH. 3021 (81,REC.FEB.) 15p
•
DOI:
- 10.1016/0370-2693(81)90667-5

Generalized Roughening Transition and Its Effect on the String Tension

Anna Hasenfratz
(
- Eotvos U.
)
,
Etelka Hasenfratz
(
- Eotvos Geophysical Inst.
)
,
Peter Hasenfratz
(
- CERN
)

- Nucl.Phys.B 180 (1981) 353-367
•
DOI:
- 10.1016/0550-3213(81)90426-0

Roughening of Wilson's Surface

- Phys.Lett.B 95 (1980) 259-264
•
DOI:
- 10.1016/0370-2693(80)90483-9

How Thick Are Chromoelectric Flux Tubes?

- Nucl.Phys.B 180 (1981) 1-12
•
DOI:
- 10.1016/0550-3213(81)90151-6

The Fluctuating String of Lattice Gauge Theory: The Heavy Quark Potential, the Restoration of Rotational Symmetry and Roughening

J.B. Kogut
(
- Illinois U., Urbana
)
,
D.K. Sinclair
(
- Illinois U., Urbana
)
,
R.B. Pearson
(
- Santa Barbara, KITP
)
,
John L. Richardson
(
- Santa Barbara, KITP
)
,
J. Shigemitsu
(
- Brown U.
)

- Phys.Rev.D 23 (1981) 2945
•
DOI:
- 10.1103/PhysRevD.23.2945

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 Calculations and a Model of the Phase Structure for Gauge Theories on Discrete Subgroups of SU(2)

D. Petcher
(
- Indiana U.
)
,
D.H. Weingarten
(
- Indiana U.
)

- Phys.Rev.D 22 (1980) 2465
•
DOI:
- 10.1103/PhysRevD.22.2465

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

Another Connection Between the $\Lambda$ Parameters of the Euclidean Lattice and Continuum {QCD}

A. Billoire
(
- CERN
)

- Phys.Lett.B 104 (1981) 472-474
•
DOI:
- 10.1016/0370-2693(81)90517-7

Numerical Estimates of Hadronic Masses in a Pure SU(3) Gauge Theory

H. Hamber
(
- Brookhaven
)
,
G. Parisi
(
- Frascati and
- Rome U.
)

- Phys.Rev.Lett. 47 (1981) 1792,
- In *Rebbi, C. ( Ed.): Lattice Gauge Theories and Monte Carlo Simulations*, 619-622. ( Phys. Rev. Lett. 47 (1981) 1792-1795) and Preprint - HAMBER, H. (81,REC.OCT.) 10p
•
DOI:
- 10.1103/PhysRevLett.47.1792

Computer Estimates of Meson Masses in SU(2) Lattice Gauge Theory

E. Marinari
(
- Rome U. and
- INFN, Rome
)
,
G. Parisi
(
- Rome U. and
- Frascati
)
,
C. Rebbi
(
- Brookhaven
)

- Phys.Rev.Lett. 47 (1981) 1795,
- In *Rebbi, C. ( Ed.): Lattice Gauge Theories and Monte Carlo Simulations*, 623-627. ( Phys. Rev. Lett. 47 (1981) 1795-1799) and Brookhaven Nat. Lab. Upton - BNL-30212 (81,REC.NOV.) 14p
•
DOI:
- 10.1103/PhysRevLett.47.1795

Monte Carlo Evaluation of Hadron Masses in Lattice Gauge Theories with Fermions

Don Weingarten
(
- Indiana U.
)

- Phys.Lett.B 109 (1982) 57,
- In *Rebbi, C. ( Ed.): Lattice Gauge Theories and Monte Carlo Simulations*, 631-636. ( Phys. Lett. B109 (1982) 57-62) and Indiana Univ. Bloomington - IUHET-69 (81,REC.OCT.) 17p
•
DOI:
- 10.1016/0370-2693(82)90463-4

Spectroscopy in a Lattice Gauge Theory

H. Hamber
(
- Brookhaven
)
,
E. Marinari
(
- Brookhaven and
- INFN, Rome
)
,
G. Parisi
(
- Rome U. and
- Frascati
)
,
C. Rebbi
(
- Brookhaven
)

- Phys.Lett.B 108 (1982) 314,
- In *Rebbi, C. ( Ed.): Lattice Gauge Theories and Monte Carlo Simulations*, 628-630. ( Phys. Lett. B108 (1982) 314-316) and Preprint - HAMBER, H. (REC.NOV.81) 6p
•
DOI:
- 10.1016/0370-2693(82)91201-1