### Abstract

The critical behaviour of linear Phi ^{4} models with global symmetry O(N)*O(M) and U(N)*U(M) is studied at one-loop order in 4- epsilon dimensions. Applications to physical systems include achiral and chiral double-strand polymers, when N=M=0. There exist infrared stables fixed points only if N and M are sufficiently small. Some special cases of interest include (1) O(-2)*O(1) and U(-1)*U(1) which have classical exponents, (2) O(1)*O(1) and O(-2)*O(-2) (for example) which exhibit a 'merging' of critical exponents, (3) M finite, N to infinity which is also calculable in a 1/N expansion.

Original language | English (US) |
---|---|

Article number | 027 |

Pages (from-to) | 3341-3355 |

Number of pages | 15 |

Journal | Journal of Physics A: Mathematical and General |

Volume | 14 |

Issue number | 12 |

DOIs | |

State | Published - 1981 |

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### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics

### Cite this

*Journal of Physics A: Mathematical and General*,

*14*(12), 3341-3355. [027]. https://doi.org/10.1088/0305-4470/14/12/027

**The renormalisation group and global G×G' theories about four dimensions.** / Pisarski, R. D.; Stein, D. L.

Research output: Contribution to journal › Article

*Journal of Physics A: Mathematical and General*, vol. 14, no. 12, 027, pp. 3341-3355. https://doi.org/10.1088/0305-4470/14/12/027

}

TY - JOUR

T1 - The renormalisation group and global G×G' theories about four dimensions

AU - Pisarski, R. D.

AU - Stein, D. L.

PY - 1981

Y1 - 1981

N2 - The critical behaviour of linear Phi 4 models with global symmetry O(N)*O(M) and U(N)*U(M) is studied at one-loop order in 4- epsilon dimensions. Applications to physical systems include achiral and chiral double-strand polymers, when N=M=0. There exist infrared stables fixed points only if N and M are sufficiently small. Some special cases of interest include (1) O(-2)*O(1) and U(-1)*U(1) which have classical exponents, (2) O(1)*O(1) and O(-2)*O(-2) (for example) which exhibit a 'merging' of critical exponents, (3) M finite, N to infinity which is also calculable in a 1/N expansion.

AB - The critical behaviour of linear Phi 4 models with global symmetry O(N)*O(M) and U(N)*U(M) is studied at one-loop order in 4- epsilon dimensions. Applications to physical systems include achiral and chiral double-strand polymers, when N=M=0. There exist infrared stables fixed points only if N and M are sufficiently small. Some special cases of interest include (1) O(-2)*O(1) and U(-1)*U(1) which have classical exponents, (2) O(1)*O(1) and O(-2)*O(-2) (for example) which exhibit a 'merging' of critical exponents, (3) M finite, N to infinity which is also calculable in a 1/N expansion.

UR - http://www.scopus.com/inward/record.url?scp=23044504014&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=23044504014&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/14/12/027

DO - 10.1088/0305-4470/14/12/027

M3 - Article

VL - 14

SP - 3341

EP - 3355

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 12

M1 - 027

ER -