dc.contributor.advisor | Krishna Rajagopal. | en_US |
dc.contributor.author | Harrison, Sarah Maureen | en_US |
dc.contributor.other | Massachusetts Institute of Technology. Dept. of Physics. | en_US |
dc.date.accessioned | 2010-02-09T16:50:47Z | |
dc.date.available | 2010-02-09T16:50:47Z | |
dc.date.copyright | 2009 | en_US |
dc.date.issued | 2009 | en_US |
dc.identifier.uri | http://hdl.handle.net/1721.1/51609 | |
dc.description | Thesis (S.B.)--Massachusetts Institute of Technology, Dept. of Physics, 2009. | en_US |
dc.description | Includes bibliographical references (p. 67). | en_US |
dc.description.abstract | 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. | en_US |
dc.description.statementofresponsibility | by Sarah Maureen Harrison. | en_US |
dc.format.extent | 67 p. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Massachusetts Institute of Technology | en_US |
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. | en_US |
dc.rights.uri | http://dspace.mit.edu/handle/1721.1/7582 | en_US |
dc.subject | Physics. | en_US |
dc.title | A cluster algorithm for Gross-Neveu fermions at nonzero temperature | en_US |
dc.type | Thesis | en_US |
dc.description.degree | S.B. | en_US |
dc.contributor.department | Massachusetts Institute of Technology. Department of Physics | |
dc.identifier.oclc | 495729165 | en_US |