Bounding the constituent quark mass

Michael C. Ogilvie

doi:10.1016/0370-2693(89)90131-7

Bounding the constituent quark mass

Michael C. Ogilvie

Department of Physics

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

6 Scopus citations

Abstract

The constituent quark mass M can be defined by the large distance behavior of the quark propagator, in some chosen gauge. I prove that the constituent mass, so defined, is bounded from below by one half of the mass of the pseudoscalar bound state: m_π≤2M_q. The bound itself is independent of the choice of gauge. An example from strong-coupling lattice gauge theory is discussed, as well as the extension of the inequality to finite temperature.

Original language	English
Pages (from-to)	161-164
Number of pages	4
Journal	Physics Letters B
Volume	231
Issue number	1-2
DOIs	https://doi.org/10.1016/0370-2693(89)90131-7
State	Published - Nov 2 1989

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title = "Bounding the constituent quark mass",

abstract = "The constituent quark mass M can be defined by the large distance behavior of the quark propagator, in some chosen gauge. I prove that the constituent mass, so defined, is bounded from below by one half of the mass of the pseudoscalar bound state: mπ≤2Mq. The bound itself is independent of the choice of gauge. An example from strong-coupling lattice gauge theory is discussed, as well as the extension of the inequality to finite temperature.",

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N2 - The constituent quark mass M can be defined by the large distance behavior of the quark propagator, in some chosen gauge. I prove that the constituent mass, so defined, is bounded from below by one half of the mass of the pseudoscalar bound state: mπ≤2Mq. The bound itself is independent of the choice of gauge. An example from strong-coupling lattice gauge theory is discussed, as well as the extension of the inequality to finite temperature.

AB - The constituent quark mass M can be defined by the large distance behavior of the quark propagator, in some chosen gauge. I prove that the constituent mass, so defined, is bounded from below by one half of the mass of the pseudoscalar bound state: mπ≤2Mq. The bound itself is independent of the choice of gauge. An example from strong-coupling lattice gauge theory is discussed, as well as the extension of the inequality to finite temperature.

UR - https://www.scopus.com/pages/publications/0007817184

U2 - 10.1016/0370-2693(89)90131-7

DO - 10.1016/0370-2693(89)90131-7

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SN - 0370-2693

VL - 231

SP - 161

EP - 164

JO - Physics Letters B

JF - Physics Letters B

IS - 1-2

ER -

Bounding the constituent quark mass

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