### Abstract

I study the four-dimensional Z(2) gauge theory with asymmetric couplings (β_{1} for the xy, xz, xt plaquettes and β_{2} for the yz, yt, zt plaquettes) by Monte Carlo simulation. A rich phase structure is found in the β_{1}, β_{2} 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 β_{1} → ∞, β_{2} → 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 language | English (US) |
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Pages (from-to) | 401-402 |

Number of pages | 2 |

Journal | Physics Letters B |

Volume | 121 |

Issue number | 6 |

DOIs | |

State | Published - Feb 17 1983 |

Externally published | Yes |

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### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Cite this

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*Physics Letters B*, vol. 121, no. 6, pp. 401-402. https://doi.org/10.1016/0370-2693(83)91186-3

**Second order transitions in Z(2) gauge theory in four dimensions.** / Bhanot, Gyan.

Research output: Contribution to journal › Article

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.

UR - http://www.scopus.com/inward/record.url?scp=49049128551&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=49049128551&partnerID=8YFLogxK

U2 - 10.1016/0370-2693(83)91186-3

DO - 10.1016/0370-2693(83)91186-3

M3 - Article

AN - SCOPUS:49049128551

VL - 121

SP - 401

EP - 402

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 6

ER -