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Monte Carlo simulation of SU(2) gauge theory with fermions on a four-dimensional lattice

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Nicolai,  Hermann
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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354827.pdf
(Publisher version), 591KB

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Citation

Lang, C. B., & Nicolai, H. (1982). Monte Carlo simulation of SU(2) gauge theory with fermions on a four-dimensional lattice. Nuclear Physics B, 200(1), 135-148. doi:10.1016/0550-3213(82)90063-3.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-5E61-4
Abstract
After integration over the fermions in an SU(2) lattice gauge theory, the effective fermionic action may be expressed as a sum over all possible closed gauge field loops with corresponding weight factors. We approximate this sum and perform a Monte Carlo simulation of a coupled fermion-gauge system on a 44 lattice. We compare our results for left angle bracketSeffright-pointing angle bracket and Image for different values of the gauge field coupling β and fermion coupling κ with the free fermion theory on a lattice. left angle bracketSeffright-pointing angle bracket turns out to be quite small for Image.