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Mass-Gaps in Lattice Field Theories


Gupta, Rajan (1982) Mass-Gaps in Lattice Field Theories. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/w3cz-2v27.


In this thesis we discuss two methods for calculating the mass-spectrum in field theories using Monte Carlo Methods. A Hamiltonian variational method is developed and checked on the 0(3) non-linear sigma model in 1+1 dimensions. The mass-gap is also· found from the 2-point correlation function and some improvements to this method are suggested. Both methods give reliable results for the lattice theory. The connection between the lattice 0(3) spin-model and the continuum theory is explored in detail.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:Physics
Degree Grantor:California Institute of Technology
Division:Physics, Mathematics and Astronomy
Major Option:Physics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Fox, Geoffrey C.
Thesis Committee:
  • Fox, Geoffrey C. (chair)
  • Feynman, Richard Phillips
  • Koonin, Steven E.
  • Hitlin, David G.
Defense Date:3 May 1982
Record Number:CaltechTHESIS:05152018-114910943
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:10889
Deposited By: Mel Ray
Deposited On:25 Jun 2018 21:28
Last Modified:16 Apr 2021 22:10

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