$\rho$, $\pi$ Masses and Chiral Symmetry Breaking: SU(2) Color Gauge Theory With Dynamical Fermions

Laermann, E.; Langhammer, F.; Schmitt, I.; Zerwas, P.M.

doi:10.1016/0370-2693(86)90412-0

$\rho$ , $\pi$ Masses and Chiral Symmetry Breaking: SU(2) Color Gauge Theory With Dynamical Fermions

E. Laermann
(
- Aachen, Tech. Hochsch.
)
,
F. Langhammer
(
- Aachen, Tech. Hochsch.
)
,
I. Schmitt
(
- Wuppertal U.
)
,
P.M. Zerwas
(
- CERN and
- Santa Barbara, KITP
)

Mar, 1986

6 pages

Published in:

Phys.Lett.B 173 (1986) 443-448

Published: 1986

DOI:

10.1016/0370-2693(86)90412-0

Report number:

CERN-TH-4394/86,
PITHA 86/04

View in:

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Abstract: (Elsevier)

The masses of ϱ , π mesons and the quark condensate 〈 q q〉 are investigated in a Monte Carlo simulation of the SU(2) colour gauge theory including dynamical Kogut-Susskind fermions on a 16×8 3 lattice. When extrapolated to zero quark mass, we find a finite ϱ mass value, but a π mass compatible with zero, and a non-zero value of the quark condensate, signalling spontaneous breaking of chiral symmetry in non-abelian gauge theories.

FERMION: LATTICE FIELD THEORY
GAUGE FIELD THEORY: SU(2)
PI: MASS
MASS: PI
RHO(770): MASS
MASS: RHO(770)
SYMMETRY BREAKING: CHIRAL
QUARK: CONDENSATION
MESON: PROPAGATOR
NUMERICAL CALCULATIONS: MONTE CARLO

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ρ\rhoρ, π\piπ Masses and Chiral Symmetry Breaking: SU(2) Color Gauge Theory With Dynamical Fermions

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$\rho$ , $\pi$ Masses and Chiral Symmetry Breaking: SU(2) Color Gauge Theory With Dynamical Fermions