The quark condensate in the Gell-Mann-Oakes-Renner relation

Kurt Langfeld; C. Kettner

doi:10.1142/S0217732396001338

The quark condensate in the Gell-Mann-Oakes-Renner relation

Kurt Langfeld, C. Kettner

Universitat Tubingen

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

5 Citations (Scopus)

Abstract

The quark condensate which enters the Gell-Mann-Oakes-Renner (GMOR) relation, is investigated in the framework of one-gluon-exchange models. The usual definition of the quark condensate via the trace of the quark propagator produces a logarithmic divergent condensate. In the product of current mass and condensate, this divergence is precisely compensated by the bare current mass. The finite value of the product in fact does not contradict the relation recently obtained by Cahill and Gunner. Therefore the GMOR relation is still satisfied.

Original language	English
Pages (from-to)	1331-1337
Number of pages	7
Journal	Modern Physics Letters A
Volume	11
Issue number	16
DOIs	https://doi.org/10.1142/S0217732396001338
Publication status	Published - 1996
Externally published	Yes

Access to Document

10.1142/S0217732396001338

Cite this

@article{ae5859873e6540bbae90c22340792780,

title = "The quark condensate in the Gell-Mann-Oakes-Renner relation",

abstract = "The quark condensate which enters the Gell-Mann-Oakes-Renner (GMOR) relation, is investigated in the framework of one-gluon-exchange models. The usual definition of the quark condensate via the trace of the quark propagator produces a logarithmic divergent condensate. In the product of current mass and condensate, this divergence is precisely compensated by the bare current mass. The finite value of the product in fact does not contradict the relation recently obtained by Cahill and Gunner. Therefore the GMOR relation is still satisfied.",

author = "Kurt Langfeld and C. Kettner",

year = "1996",

doi = "10.1142/S0217732396001338",

language = "English",

volume = "11",

pages = "1331--1337",

journal = "Modern Physics Letters A",

issn = "0217-7323",

publisher = "World Scientific Publishing",

number = "16",

}

TY - JOUR

T1 - The quark condensate in the Gell-Mann-Oakes-Renner relation

AU - Langfeld, Kurt

AU - Kettner, C.

PY - 1996

Y1 - 1996

N2 - The quark condensate which enters the Gell-Mann-Oakes-Renner (GMOR) relation, is investigated in the framework of one-gluon-exchange models. The usual definition of the quark condensate via the trace of the quark propagator produces a logarithmic divergent condensate. In the product of current mass and condensate, this divergence is precisely compensated by the bare current mass. The finite value of the product in fact does not contradict the relation recently obtained by Cahill and Gunner. Therefore the GMOR relation is still satisfied.

AB - The quark condensate which enters the Gell-Mann-Oakes-Renner (GMOR) relation, is investigated in the framework of one-gluon-exchange models. The usual definition of the quark condensate via the trace of the quark propagator produces a logarithmic divergent condensate. In the product of current mass and condensate, this divergence is precisely compensated by the bare current mass. The finite value of the product in fact does not contradict the relation recently obtained by Cahill and Gunner. Therefore the GMOR relation is still satisfied.

U2 - 10.1142/S0217732396001338

DO - 10.1142/S0217732396001338

M3 - Article

SN - 0217-7323

VL - 11

SP - 1331

EP - 1337

JO - Modern Physics Letters A

JF - Modern Physics Letters A

IS - 16

ER -