### Abstract

Dimensional reduction of high temperature field theories improves IR features of their perturbative treatment. A crucial question is the following: What three-dimensional theory is representing the full system the most faithful way? A careful investigation of the induced three-dimensional counterterm structure of the finite temperature 4D O(N) symmetric scalar theory at the two-loop level leads to proposing the presence of nonlocal operators in the effective theory. A three-dimensional matching process is applied for the construction of the optimal local, superrenormalizable approximation.

Original language | English |
---|---|

Pages (from-to) | 4538-4551 |

Number of pages | 14 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 53 |

Issue number | 8 |

Publication status | Published - Apr 15 1996 |

### Fingerprint

### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)

### Cite this

**Reduction of the N-component scalar model at the two-loop level.** / Jakovác, A.

Research output: Contribution to journal › Article

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 53, no. 8, pp. 4538-4551.

}

TY - JOUR

T1 - Reduction of the N-component scalar model at the two-loop level

AU - Jakovác, A.

PY - 1996/4/15

Y1 - 1996/4/15

N2 - Dimensional reduction of high temperature field theories improves IR features of their perturbative treatment. A crucial question is the following: What three-dimensional theory is representing the full system the most faithful way? A careful investigation of the induced three-dimensional counterterm structure of the finite temperature 4D O(N) symmetric scalar theory at the two-loop level leads to proposing the presence of nonlocal operators in the effective theory. A three-dimensional matching process is applied for the construction of the optimal local, superrenormalizable approximation.

AB - Dimensional reduction of high temperature field theories improves IR features of their perturbative treatment. A crucial question is the following: What three-dimensional theory is representing the full system the most faithful way? A careful investigation of the induced three-dimensional counterterm structure of the finite temperature 4D O(N) symmetric scalar theory at the two-loop level leads to proposing the presence of nonlocal operators in the effective theory. A three-dimensional matching process is applied for the construction of the optimal local, superrenormalizable approximation.

UR - http://www.scopus.com/inward/record.url?scp=0001260997&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001260997&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0001260997

VL - 53

SP - 4538

EP - 4551

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 8

ER -