QCD with large number of quarks: Effects of the instanton - Anti-instanton pairs

M. Velkovsky; E. Shuryak

doi:10.1016/S0370-2693(98)00930-7

QCD with large number of quarks: Effects of the instanton - Anti-instanton pairs

M. Velkovsky
, E. Shuryak

Physics and Astronomy

Stony Brook University

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

53 Scopus citations

Abstract

We calculate the contribution of instanton - anti-instanton (IĪ) pairs to the vacuum energy of QCD-like theories with N_f light fermions, using the saddle point method. A qualitative change of behavior is found around N_f = 6. We discuss the relation of this phenomenon to the mechanism of chiral symmetry breaking and the asymptotic of the perturbative series associated with IĪ contributions.

Original language	English
Pages (from-to)	398-402
Number of pages	5
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	437
Issue number	3-4
DOIs	https://doi.org/10.1016/S0370-2693(98)00930-7
State	Published - Oct 8 1998

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title = "QCD with large number of quarks: Effects of the instanton - Anti-instanton pairs",

abstract = "We calculate the contribution of instanton - anti-instanton (IĪ) pairs to the vacuum energy of QCD-like theories with Nf light fermions, using the saddle point method. A qualitative change of behavior is found around Nf = 6. We discuss the relation of this phenomenon to the mechanism of chiral symmetry breaking and the asymptotic of the perturbative series associated with IĪ contributions.",

author = "M. Velkovsky and E. Shuryak",

year = "1998",

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doi = "10.1016/S0370-2693(98)00930-7",

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T1 - QCD with large number of quarks

T2 - Effects of the instanton - Anti-instanton pairs

AU - Velkovsky, M.

AU - Shuryak, E.

PY - 1998/10/8

Y1 - 1998/10/8

N2 - We calculate the contribution of instanton - anti-instanton (IĪ) pairs to the vacuum energy of QCD-like theories with Nf light fermions, using the saddle point method. A qualitative change of behavior is found around Nf = 6. We discuss the relation of this phenomenon to the mechanism of chiral symmetry breaking and the asymptotic of the perturbative series associated with IĪ contributions.

AB - We calculate the contribution of instanton - anti-instanton (IĪ) pairs to the vacuum energy of QCD-like theories with Nf light fermions, using the saddle point method. A qualitative change of behavior is found around Nf = 6. We discuss the relation of this phenomenon to the mechanism of chiral symmetry breaking and the asymptotic of the perturbative series associated with IĪ contributions.

UR - https://www.scopus.com/pages/publications/0001569988

U2 - 10.1016/S0370-2693(98)00930-7

DO - 10.1016/S0370-2693(98)00930-7

M3 - Article

AN - SCOPUS:0001569988

SN - 0370-2693

VL - 437

SP - 398

EP - 402

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 3-4

ER -

QCD with large number of quarks: Effects of the instanton - Anti-instanton pairs

Abstract

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