2026-09-19T03:24:16Zhttps://dspace.mit.edu/server/oai/requestoai:dspace.mit.edu:1721.1/516092022-01-13T07:54:41Zcom_1721.1_7582com_1721.1_7581col_1721.1_131024
Krishna Rajagopal.
Harrison, Sarah Maureen
Massachusetts Institute of Technology. Dept. of Physics.
Massachusetts Institute of Technology. Department of Physics
2010-02-09T16:50:47Z
2010-02-09T16:50:47Z
2009
2009
http://hdl.handle.net/1721.1/51609
495729165
Thesis (S.B.)--Massachusetts Institute of Technology, Dept. of Physics, 2009.
Includes bibliographical references (p. 67).
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.
by Sarah Maureen Harrison.
S.B.
67 p.
eng
Massachusetts Institute of Technology
M.I.T. theses are protected by
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http://dspace.mit.edu/handle/1721.1/7582
Physics.
A cluster algorithm for Gross-Neveu fermions at nonzero temperature
Thesis
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