The Lattice Schwinger Model with Slac Fermions* - -

نویسنده

  • PAOLO NASON
چکیده

The lattice Schwinger model with SLAC fermions is analyzed with two methods: a Hartree-Fock calculation of the ground state wavefunction, and a weak coupling approximation involving a truncated SLAC derivative. It is shown that $ Goldstone boson of chiral symmetry is actually present, but in the weak coupling limit it acquires infinite velocity. Submitted to Nuclear Physics B * Work supported by the Department of Energy, contract DE AC03 76SF00515. t Present address.

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

The Lattice Schwinger Model : Confinement , Anomalies , Chiral Fermions and All That ∗

In order to better understand what to expect from numerical CORE computations for two-dimensional massless QED (the Schwinger model) we wish to obtain some analytic control over the approach to the continuum limit for various choices of fermion derivative. To this end we study the Hamiltonian formulation of the lattice Schwinger model (i.e., the theory defined on the spatial lattice with contin...

متن کامل

The chiral limit of the two - flavor lattice Schwinger model with Wilson fermions ∗

We study the 2-flavor lattice Schwinger model with Wilson fermions in the chiral limit. The quark mass is determined using the PCAC definition. We numerically compute the masses of the iso-triplet (π) and iso-singlet particles (η) for different quark masses and compare our results with analytical formulas.

متن کامل

Central charge of the parallelogram-lattice strong coupling Schwinger model.

We put forth a Fierzed hopping expansion for strong coupling Wilson fermions. As an application, we show that the strong coupling Schwinger model on parallelogram lattices with nonbacktracking Wilson fermions span, as a function of the lattice skewness angle, the ∆ = −1 critical line of 6-vertex models. This Fierzed formulation also applies to backtracking Wilson fermions, which as we describe ...

متن کامل

Interpolated Lattice Gauge Fields and Chiral Fermions in the Schwinger Model

The effective action induced by fermions in the chiral Schwinger model with charges (3,4,5) is investigated. Pauli-Villars regularization is combined with momentum cutoff for the evaluation of the fermion determinants on continuum gauge fields interpolated between lattice points. The convergence and gauge variance are studied numerically on gauge configurations taken from quenched updating.

متن کامل

Some approximate analytical methods in the study of the self-avoiding loop model with variable bending rigidity and the critical behaviour of the strong coupling lattice Schwinger model with Wilson fermions

Some time ago Salmhofer demonstrated the equivalence of the strong coupling lattice Schwinger model withWilson fermions to a certain 8-vertex model which can be understood as a self-avoiding loop model on the square lattice with bending rigidity η = 1/2 and monomer weight z = (2κ)−2. The present paper applies two approximate analytical methods to the investigation of critical properties of the ...

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 1998