### Abstract

The perturbation theory for a color-quark gauge theory on a spatial lattice is developed in time-dependent form. Graphical rules are suggested. These methods are then applied to study the nature of the 5 symmetry exhibited when the bare-quark-mass term is zero. Investigation of the quark proper self-energy leads to the conclusion that the 5 symmetry is realized in the Nambu-Goldstone mode. A Bethe-Salpeter equation for the proper 5 vertex is solved in the ladder approximation, and shown to exhibit zero-mass poles.

Original language | English (US) |
---|---|

Pages (from-to) | 3342-3369 |

Number of pages | 28 |

Journal | Physical Review D |

Volume | 13 |

Issue number | 12 |

DOIs | |

State | Published - Jan 1 1976 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)

### Cite this

*Physical Review D*,

*13*(12), 3342-3369. https://doi.org/10.1103/PhysRevD.13.3342

**Non-Abelian gauge field theories on a lattice and spontaneous breaking of chiral symmetry.** / Baluni, Varouzhan; Willemsen, Jorge.

Research output: Contribution to journal › Article

*Physical Review D*, vol. 13, no. 12, pp. 3342-3369. https://doi.org/10.1103/PhysRevD.13.3342

}

TY - JOUR

T1 - Non-Abelian gauge field theories on a lattice and spontaneous breaking of chiral symmetry

AU - Baluni, Varouzhan

AU - Willemsen, Jorge

PY - 1976/1/1

Y1 - 1976/1/1

N2 - The perturbation theory for a color-quark gauge theory on a spatial lattice is developed in time-dependent form. Graphical rules are suggested. These methods are then applied to study the nature of the 5 symmetry exhibited when the bare-quark-mass term is zero. Investigation of the quark proper self-energy leads to the conclusion that the 5 symmetry is realized in the Nambu-Goldstone mode. A Bethe-Salpeter equation for the proper 5 vertex is solved in the ladder approximation, and shown to exhibit zero-mass poles.

AB - The perturbation theory for a color-quark gauge theory on a spatial lattice is developed in time-dependent form. Graphical rules are suggested. These methods are then applied to study the nature of the 5 symmetry exhibited when the bare-quark-mass term is zero. Investigation of the quark proper self-energy leads to the conclusion that the 5 symmetry is realized in the Nambu-Goldstone mode. A Bethe-Salpeter equation for the proper 5 vertex is solved in the ladder approximation, and shown to exhibit zero-mass poles.

UR - http://www.scopus.com/inward/record.url?scp=4243463493&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=4243463493&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.13.3342

DO - 10.1103/PhysRevD.13.3342

M3 - Article

AN - SCOPUS:4243463493

VL - 13

SP - 3342

EP - 3369

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 0556-2821

IS - 12

ER -