A cluster algorithm for Gross-Neveu fermions at nonzero temperature
Author(s)Harrison, Sarah Maureen
Massachusetts Institute of Technology. Dept. of Physics.
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In this thesis we present results of lattice simulations of Gross-Neveu fermions in 1+1 dimensions. We re derive the representation of N flavors of Wilson fermions in terms of Ising spins on a 1 + 1 dimensional lattice from . We re implement the cluster algorithm of  for N flavors of free fermions and verify it against exact monomer densities in the free theory. In addition, we extend this algorithm to the interacting case using the prescription outlined in  and produce results for fermion correlation functions in the Gross-Neveu model using a cluster algorithm for the first time. To analyze Gross-Neveu fermions at nonzero temperature, we develop an algorithm to simulate fluctuating boundary conditions. We calculate the chiral condensate at nonzero temperature using this algorithm and see evidence consistent with a phase transition in the large N limit.
Thesis (S.B.)--Massachusetts Institute of Technology, Dept. of Physics, 2009.Includes bibliographical references (p. 67).
DepartmentMassachusetts Institute of Technology. Dept. of Physics.; Massachusetts Institute of Technology. Department of Physics
Massachusetts Institute of Technology