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

نویسنده

  • Yoshio Kikukawa
چکیده

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 gauge degree of freedom is introduced by hand at first. This allows us to tame the gauge fluctuation by approaching the critical point of the gauge degree of freedom without spoiling its disordered nature. We examine the spectrum in the boundary correlation function and find the mass gap of the order of the lattice cutoff. There is no symmetry against it. Then we argue that the decoupling of the gauge freedom can occur as the self-coupling is removed, provided that the IR fixed point due to the Wess-Zumino term is absent by anomaly cancellation. ∗e-mail address: [email protected], [email protected] †On leave of absence from: Department of Physics, Kyoto University, Kyoto 606-01, Japan 1

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

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...

متن کامل

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...

متن کامل

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...

متن کامل

Gribov Copy and Complex Phase of Chiral Determinant *

We calculate the complex phase of chiral determinant by the vacuum overlap formula with configurations of two-dimensional U(1) gauge field fixed in Landau and Laplacian gauge. The complex phase fluctuates over the Gribov copies, which appear in the process of Landau gauge fixing and contain vortex-like singularities. In the Laplacian gauge, the fluctuation can be reduced and the phase can be de...

متن کامل

Gribov Copy and Complex Phase of Chiral Determinant ∗

We calculate the complex phase of chiral determinant by the vacuum overlap formula with configurations of two-dimensional U(1) gauge field fixed in Landau and Laplacian gauge. The complex phase fluctuates over the Gribov copies, which appear in the process of Landau gauge fixing and contain vortex-like singularities. In the Laplacian gauge, the fluctuation can be reduced and the phase can be de...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2008