Gauge freedom in chiral gauge theory with vacuum overlap

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چکیده

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Gauge Freedom in Chiral Gauge Theory with Vacuum Overlap

In the vacuum overlap formalism[1] of a generic chiral gauge theory, gauge symmetry is explicitly broken by the complex phase of fermion determinant. In order to restore the gauge invariance, gauge average—the integration along gauge orbit— is invoked. Then, what is required for the dynamical nature of the gauge freedom at β = ∞ (pure gauge limit) is that the global gauge symmetry is not broken...

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Gauge Freedom in Chiral Gauge Theory with Vacuum Overlap – Two-dimensional case

Dynamical nature of the gauge degree of freedom and its effect to fermion spectrum are studied at β = ∞ for two-dimensional nonabelian chiral gauge theory in the vacuum overlap formulation. It is argued that the disordered gauge degree of freedom does not necessarily cause the massless chiral state in the (waveguide) boundary correlation function. An asymptotically free self-coupling for the ga...

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Gauge Freedom in Chiral Gauge Theory with Vacuum Overlap – Four-dimensional case

Dynamical nature of the gauge degree of freedom and its effect to fermion spectrum are studied for four-dimensional nonabelian chiral gauge theory in the vacuum overlap formulation. The covariant gauge fixing term and the Faddeev-Popov determinant are introduced by hand as a weight for the gauge average. At β = ∞, as noticed by Hata some time ago, the model is renormalizable at one-loop and the...

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Chiral Gauge Theories in the Overlap Formalism

The overlap formula for the chiral determinant is presented and the realization of gauge anomalies and gauge field toplogy in this context is discussed. The ability of the overlap formalism to deal with supersymmetric theories and Majorana-Weyl fermions is outlined. Two applications of the overlap formalism are discussed in some detail. One application is the computation of a fermion number vio...

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ژورنال

عنوان ژورنال: Nuclear Physics B - Proceedings Supplements

سال: 1998

ISSN: 0920-5632

DOI: 10.1016/s0920-5632(97)00840-2