Chiral symmetry and quark - anti-quark pair creation in a strong color electromagnetic field

Suganuma, Hideo; Tatsumi, Toshitaka

doi:10.1143/PTP.90.379

Chiral symmetry and quark - anti-quark pair creation in a strong color electromagnetic field

Hideo Suganuma
(
- Kyoto U.
)
,
Toshitaka Tatsumi
(
- Kyoto U.
)

Aug, 1991

50 pages

Published in:

Prog.Theor.Phys. 90 (1993) 379-404

DOI:

10.1143/PTP.90.379

Report number:

KUNS-1091

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Abstract: (Oxford Journals)

We study the manifestation of chiral symmetry and q-q pair creation in the presence of the external color-electromagnetic field, using the Nambu-Jona-Lasinio model. We derive the compact formulae of the effective potential, the Dyson equation for the dynamical quark mass and the q-q pair creation rate in the covariantly constant color-electromagnetic field. Our results are compared with those in other approaches. The chiral-symmetry restoration takes place by a strong color-electric field, and the rapid reduction of the dynamical quark mass is found around the critical field strength, E_cr ≃4 GeV/fm. Natural extension to the three-flavor case including s-quarks is also done. Around quarks or antiquarks, chiral symmetry would be restored by the sufficiently strong color-electric field, which may lead to the chiral bag picture of hadrons. For the early stage for ultrarelativistic heavy-ion collisions, the possibility of the chiral-symmetry restoration is indicated in the central region just after the collisions.

color: external field
color: electromagnetic field
color: strong field
quark: pair production
pair production: quark
symmetry: chiral
Jona-Lasinio-Nambu model
quark: mass
mass: quark
Dyson-Schwinger equation

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