Finite Size Effects Due to Goldstone Particles in Lattice Gauge Theory

Jolicoeur, T.; Morel, A.

doi:10.1016/0550-3213(85)90508-5

Finite Size Effects Due to Goldstone Particles in Lattice Gauge Theory

T. Jolicoeur
(
- Saclay
)
,
A. Morel
(
- Saclay
)

Jul, 1985

17 pages

Published in:

Nucl.Phys.B 262 (1985) 627-643

Published: 1985

DOI:

10.1016/0550-3213(85)90508-5

Report number:

SACLAY-PhT/85-045

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Abstract: (Elsevier)

We study the finite-size effects associated with the appearance of a light, i.e. Goldstone, particle in the Kogut-Susskind lattice gauge theory. We analytically study the order parameter ( X X) and the two-meson propagator in the strong coupling limit on a finite lattice. We give their explicit interpolations between the broken phase of the infinite-volume limit and the symmetric one of the finite system. We argue that the results obtained in the strong coupling limit are more general.

FERMION: LATTICE FIELD THEORY
GAUGE FIELD THEORY: SU(N)
SPONTANEOUS SYMMETRY BREAKING
EXPANSION: STRONG COUPLING
STRONG COUPLING: EXPANSION
APPROXIMATION: MEAN FIELD
POSTULATED PARTICLE: GOLDSTONE PARTICLE
MESON: PROPAGATOR
CORRELATION FUNCTION
EFFECT: FINITE SIZE

References(13)

Figures(0)

Some Analytic Results Concerning the Mass Spectrum of Yang-Mills Gauge Theories on a Torus

M. Luscher
(
- Bern U.
)

- Nucl.Phys.B 219 (1983) 233-261
•
DOI:
- 10.1016/0550-3213(83)90436-4

Weak Coupling Expansion of the Low Lying Energy Values in the SU(2) Gauge Theory on a Torus

M. Luscher
(
- Bern U.
)
,
G. Munster
(
- Bern U.
)

- Nucl.Phys.B 232 (1984) 445,
- Nucl. Phys. B232 ( 1984) 445-472 and Bern Univ. - BUTP-83-09 (83,REC.AUG.) 53p
•
DOI:
- 10.1016/0550-3213(84)90038-5

- Physica A 124 495

The Strong Coupling Expansion of Lattice Gauge Theories With Susskind Fermions

- Nucl.Phys.B 235 (1984) 455-477
•
DOI:
- 10.1016/0550-3213(84)90492-9

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

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

Numerical Estimates for the Spectrum of Quantum Chromodynamics

Herbert Hamber
(
- Brookhaven
)
,
Giorgio Parisi
(
- Rome U. and
- Frascati
)

- Phys.Rev.D 27 (1983) 208
•
DOI:
- 10.1103/PhysRevD.27.208

A Numerical Simulation of Quenched SU(2) Lattice Gauge Theory

- Nucl.Phys.B 251 (1985) 581-623
•
DOI:
- 10.1016/0550-3213(85)90279-2

- Phys.Lett.B 136 86

Meson and Baryon Masses for Light {Kogut-Susskind} Quarks on a Large Lattice. 2. Renormalization Group Analysis

J.P. Gilchrist
(
- DESY
)
,
G. Schierholz
(
- DESY
)
,
H. Schneider
(
- Munich, Max Planck Inst.
)
,
M. Teper
(
- Annecy, LAPP
)

- Nucl.Phys.B 248 (1984) 29-58
•
DOI:
- 10.1016/0550-3213(84)90585-6

Strong Evidence for Spontaneous Chiral Symmetry Breaking in (Quenched) {QCD}

et al.

- Phys.Lett.B 136 (1984) 80-86
•
DOI:
- 10.1016/0370-2693(84)92061-6

Studies of Chiral Symmetry Breaking in SU(2) Lattice Gauge Theory

John B. Kogut
(
- Illinois U., Urbana
)
,
M. Stone
(
- Illinois U., Urbana
)
,
H.W. Wyld
(
- Illinois U., Urbana
)
,
S.H. Shenker
(
- Chicago U.
)
,
J. Shigemitsu
(
- Ohio State U.
)

et al.

- Nucl.Phys.B 225 (1983) 326-370
•
DOI:
- 10.1016/0550-3213(83)90415-7

- Phys.Rev.B 27 4256