The transfer matrix with Kogut-Susskind fermions
نویسنده
چکیده
A transfer matrix for gauge theories on a lattice with KogutSusskind fermions in the flavour basis is constructed and some difficulties in the spin-diagonal basis are pointed out. ∗Work supported in part by the European Community’s Human Potential Programme under contract HPRN-CT-2000-00131 Quantum Spacetime
منابع مشابه
Negative-energy Spinors and the Fock Space of Lattice Fermions at Finite Chemical Potential (revised)
Recently it was suggested that the problem of species doubling with Kogut-Susskind lattice fermions entails, at finite chemical potential, a confusion of particles with an-tiparticles. What happens instead is that the familiar correspondence of positive-energy spinors to particles, and of negative-energy spinors to antiparticles, ceases to hold for the Kogut-Susskind time derivative. To show th...
متن کامل/ 0 20 80 02 v 1 1 A ug 2 00 2 The chemical potential in the transfer matrix and in the path integral formulation of QCD on a lattice Fabrizio Palumbo
We define the chemical potential as the Lagrange multiplier of the baryon charge operator in the transfer matrix formalism of QCD on a lattice. Transforming the partition function into an euclidean path integral we get the Hasenfratz-Karsh action both for Wilson and Kogut-Susskind fermions. In the latter case the chemical potential in the spin-diagonal basis is half that in the flavour basis. S...
متن کاملSpin Chains and Chiral Lattice Fermions
The generalization of Lorentz invariance to solvable two-dimensional lattice fermion models has been formulated in terms of Baxter’s corner transfer matrix. In these models, the lattice Hamiltonian and boost operator are given by fermionized nearest-neighbor Heisenberg spin chain operators. The transformation properties of the local lattice fermion operators under a boost provide a natural and ...
متن کاملKramers Equation Algorithm with Kogut-Susskind Fermions on Lattice
We compare the performance of the Kramers Equation Monte Carlo (KMC) Algorithm with that of the Hybrid Monte Carlo (HMC) algorithm for numerical simulations with dynamical Kogut-Susskind fermions. Using the lattice Gross-Neveu model in 2 space-time dimensions, we calculate the integrated autocorrelation time of different observables at a number of couplings in the scaling region on 162 and 322 ...
متن کاملExotic hybrid mesons from improved Kogut-Susskind fermions
Experimental evidence suggests the existence of particles with “exotic” quantum numbers J = 1−+, such as the π1(1400) [1] and the π1(1600) [2]. Explanations of these include fourquark states and hybrid mesons — mesons with gluonic excitations. Several lattice studies [3–5] have used quenched Wilson and improved Wilson fermions to explore the possibility of such hybrid states. Using both quenche...
متن کامل