The short distance behavior of (φ4)3

D. Brydges; J. Dimock; T. R. Hurd

doi:10.1007/BF02104514

The short distance behavior of (φ⁴)₃

D. Brydges
, J. Dimock
, T. R. Hurd

Mathematics

University at Buffalo

Research output: Contribution to journal › Article › peer-review

34 Scopus citations

Abstract

We consider the φ₃⁴ quantum field theory on a torus and study the short distance behavior. We reproduce the standard result that the singularities can be removed by a simple mass renormalization. For the resulting model we give an L_p bound on the short distance regularity of the correlation functions. To obtain these results we develop a systematic treatment of the generating functional for correlations using a renormalization group method incorporating background fields.

Original language	English
Pages (from-to)	143-186
Number of pages	44
Journal	Communications in Mathematical Physics
Volume	172
Issue number	1
DOIs	https://doi.org/10.1007/BF02104514
State	Published - Aug 1995

Access to Document

10.1007/BF02104514

Cite this

@article{7186a74bdf764a8e8a495cff527cc89e,

title = "The short distance behavior of (φ4)3",

abstract = "We consider the φ34 quantum field theory on a torus and study the short distance behavior. We reproduce the standard result that the singularities can be removed by a simple mass renormalization. For the resulting model we give an Lp bound on the short distance regularity of the correlation functions. To obtain these results we develop a systematic treatment of the generating functional for correlations using a renormalization group method incorporating background fields.",

author = "D. Brydges and J. Dimock and Hurd, \{T. R.\}",

year = "1995",

month = aug,

doi = "10.1007/BF02104514",

language = "English",

volume = "172",

pages = "143--186",

journal = "Communications in Mathematical Physics",

issn = "0010-3616",

publisher = "Springer New York",

number = "1",

}

TY - JOUR

T1 - The short distance behavior of (φ4)3

AU - Brydges, D.

AU - Dimock, J.

AU - Hurd, T. R.

PY - 1995/8

Y1 - 1995/8

N2 - We consider the φ34 quantum field theory on a torus and study the short distance behavior. We reproduce the standard result that the singularities can be removed by a simple mass renormalization. For the resulting model we give an Lp bound on the short distance regularity of the correlation functions. To obtain these results we develop a systematic treatment of the generating functional for correlations using a renormalization group method incorporating background fields.

AB - We consider the φ34 quantum field theory on a torus and study the short distance behavior. We reproduce the standard result that the singularities can be removed by a simple mass renormalization. For the resulting model we give an Lp bound on the short distance regularity of the correlation functions. To obtain these results we develop a systematic treatment of the generating functional for correlations using a renormalization group method incorporating background fields.

UR - https://www.scopus.com/pages/publications/0000246418

U2 - 10.1007/BF02104514

DO - 10.1007/BF02104514

M3 - Article

SN - 0010-3616

VL - 172

SP - 143

EP - 186

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 1

ER -

The short distance behavior of (φ⁴)₃

Abstract

Access to Document

Other files and links

Fingerprint

Cite this