Fermion Determinants: Some Recent Analytic Results

نویسنده

  • M. P. FRY
چکیده

Without internal quark loops such basic phenomena as color charge screening and fast quark fragmentation into hadrons cannot be formulated. Accordingly, the fermion determinant is one of the central quantities in any ab initio lattice QCD calculation that will confront experiment. It is proposed to use analytic results for fermion determinants in QCD and QED as a check on extrapolated lattice fermion determinants. In particular, the analytic results should be used to verify the universality hypothesis relating the continuum limits of the näıve, staggered and Wilson fermion determinants for a single quark flavor:

برای دانلود رایگان 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

Fermion Determinants 2003

It is recommended that lattice QCD representations of the fermion determinant, including the discretization of the Dirac operator, be checked in the continuum limit against known QED determinant results. Recent work on the massive QED fermion determinant in two dimensions is reviewed. A feasible approach to the four-dimensional QED determinant with O(2) × O(3) symmetric background fields is bri...

متن کامل

Worldline Approach to Chiral Fermions

We propose to apply “worldline numerics” to a numerical calculation of quark determinants. The Gross-Neveu model with a U(1) chiral symmetry is considered as a first test. The worldline approach allows for an analytic renormalisation, and only finite parts of the determinant require a numerical calculation. It is shown that the discretisation of the worldlines, which is central to the numerical...

متن کامل

Variational Calculations for the Relativistic Interacting Fermion System at Finite Temperature: Application to Liquid 3He

In this paper, at first we have formulated the lowest order constrained variational method for the relativistic case of an interacting fermion system at finite temperature. Then we have used this formalism to calculate some thermodynamic properties of liquid in the relativistic regime. The results show that the difference between total energies of relativistic and non-relativistic cases of liqu...

متن کامل

Fermion Ground State of Three Particles in a Harmonic Potential Well and Its Anyon Interpolation

We examine the detail of the analytic structure of an exact analytic solution of three anyons, which interpolates to the fermion ground state in a harmonic potential well. The analysis is done on the fundamental domain with appropriate boundary conditions. Some remarks on the hard-core conditions and self-adjointness are made.

متن کامل

Non-positive fermion determinants in lattice supersymmetry

We find that fermion determinants are not generally positive in a recent class of constructions with explicit lattice supersymmetry. These involve an orbifold of supersymmetric matrix models, and have as their target (continuum) theory (2,2) 2-dimensional super-Yang-Mills. The fermion determinant is shown to be identically zero for all boson configurations due to the existence of a zeromode fer...

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

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2004