A cluster algorithm for Gross-Neveu fermions at nonzero temperature

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 [1]. We re implement the cluster algorithm of [1] 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 [1] 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.

Department dc:contributor.department

Massachusetts Institute of Technology. Dept. of Physics.

Grantor dc:publisher

Massachusetts Institute of Technology

Year dc:date.issued

2009

Author dc:creator

• Harrison, Sarah Maureen

Advisor dc:contributor.advisor

• Krishna Rajagopal.

• Physics.

Statement dc:rights

• M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission.

Licence dc:rights.uri

• http://dspace.mit.edu/handle/1721.1/7582

Language dc:language.iso

eng

Handle dc:identifier.uri

http://hdl.handle.net/1721.1/51609

OAI identifier oai:identifier

oai:dspace.mit.edu:1721.1/51609