Second order transitions in Z(2) gauge theory in four dimensions

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6 Citations (Scopus)

Abstract

I study the four-dimensional Z(2) gauge theory with asymmetric couplings (β1 for the xy, xz, xt plaquettes and β2 for the yz, yt, zt plaquettes) by Monte Carlo simulation. A rich phase structure is found in the β1, β2 plane. In particular, there are lines of second order transitions that meet in a tri-critical point at which a four-dimensional Lorentz invariant continuum limit might exist. Further, the limit β1 → ∞, β2 → 0 for which the hamiltonian theory is obtained, is found to be the end-point of a line of first order transitions. The prediction therefore is that the hamiltonian formulation of this theory has a second order phase transition with infinite correlation length.

Original languageEnglish (US)
Pages (from-to)401-402
Number of pages2
JournalPhysics Letters B
Volume121
Issue number6
DOIs
StatePublished - Feb 17 1983
Externally publishedYes

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gauge theory
critical point
continuums
formulations
predictions
simulation

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Cite this

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title = "Second order transitions in Z(2) gauge theory in four dimensions",
abstract = "I study the four-dimensional Z(2) gauge theory with asymmetric couplings (β1 for the xy, xz, xt plaquettes and β2 for the yz, yt, zt plaquettes) by Monte Carlo simulation. A rich phase structure is found in the β1, β2 plane. In particular, there are lines of second order transitions that meet in a tri-critical point at which a four-dimensional Lorentz invariant continuum limit might exist. Further, the limit β1 → ∞, β2 → 0 for which the hamiltonian theory is obtained, is found to be the end-point of a line of first order transitions. The prediction therefore is that the hamiltonian formulation of this theory has a second order phase transition with infinite correlation length.",
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Second order transitions in Z(2) gauge theory in four dimensions. / Bhanot, Gyan.

In: Physics Letters B, Vol. 121, No. 6, 17.02.1983, p. 401-402.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Second order transitions in Z(2) gauge theory in four dimensions

AU - Bhanot, Gyan

PY - 1983/2/17

Y1 - 1983/2/17

N2 - I study the four-dimensional Z(2) gauge theory with asymmetric couplings (β1 for the xy, xz, xt plaquettes and β2 for the yz, yt, zt plaquettes) by Monte Carlo simulation. A rich phase structure is found in the β1, β2 plane. In particular, there are lines of second order transitions that meet in a tri-critical point at which a four-dimensional Lorentz invariant continuum limit might exist. Further, the limit β1 → ∞, β2 → 0 for which the hamiltonian theory is obtained, is found to be the end-point of a line of first order transitions. The prediction therefore is that the hamiltonian formulation of this theory has a second order phase transition with infinite correlation length.

AB - I study the four-dimensional Z(2) gauge theory with asymmetric couplings (β1 for the xy, xz, xt plaquettes and β2 for the yz, yt, zt plaquettes) by Monte Carlo simulation. A rich phase structure is found in the β1, β2 plane. In particular, there are lines of second order transitions that meet in a tri-critical point at which a four-dimensional Lorentz invariant continuum limit might exist. Further, the limit β1 → ∞, β2 → 0 for which the hamiltonian theory is obtained, is found to be the end-point of a line of first order transitions. The prediction therefore is that the hamiltonian formulation of this theory has a second order phase transition with infinite correlation length.

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