Lattice gauge theory and gluon color-confinement in curved spacetime

Abstract

The lattice gauge theory for curved spacetime is formulated. A discretized action is derived for both gluon and quark fields which reduces to the generally covariant form in the continuum limit. Using the Wilson action, it is shown analytically that for a general curved spacetime background, two propagating gluons are always color-confined. The fermion-doubling problem is discussed in the specific case of Friedman-Robertson-Walker metric. Lastly, we discussed possible future numerical implementation of lattice QCD in curved spacetime.

10 pages, NO figures

References in corpus (5)

• Color superconductivity in dense quark matter
• Confinement from spontaneous breaking of scale symmetry
• Static potential from spontaneous breaking of scale symmetry
• Confinement from gluodynamics in curved space-time
• The separation of the chiral and deconfinement phase transitions in the curved space-time

Cited by in corpus (1)

• Overview of external electromagnetism and rotation in lattice QCD