Estimate of effective size of instantons

M. A. Shifman; A. I. Vainshtein; V. I. Zakharov

doi:10.1016/0370-2693(78)90908-5

Estimate of effective size of instantons

M. A. Shifman
, A. I. Vainshtein
, V. I. Zakharov

Physics and Astronomy (Twin Cities)

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

43 Scopus citations

Abstract

We study instanton contribution into the vacuum expectation value of the gluon field strength tensor squared, 〈O{divides}G_μν^{aG_μν^{a{div ides}O〉}}. The integral over instanton sizes ρ{variant} diverges at large ρ{variant}, where one-instanton approximation becomes invalid. Cutting the integration off at some ρ{variant}_c and comparing the result with the phenomenological number for the vacuum expectation value we find ρ{variant}_c∼ 1 200 MeV.

Original language	English (US)
Pages (from-to)	471-474
Number of pages	4
Journal	Physics Letters B
Volume	76
Issue number	4
DOIs	https://doi.org/10.1016/0370-2693(78)90908-5
State	Published - Jun 19 1978

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title = "Estimate of effective size of instantons",

abstract = "We study instanton contribution into the vacuum expectation value of the gluon field strength tensor squared, 〈O\{divides\}GμνaGμνa\{div ides\}O〉. The integral over instanton sizes ρ\{variant\} diverges at large ρ\{variant\}, where one-instanton approximation becomes invalid. Cutting the integration off at some ρ\{variant\}c and comparing the result with the phenomenological number for the vacuum expectation value we find ρ\{variant\}c∼ 1 200 MeV.",

author = "Shifman, \{M. A.\} and Vainshtein, \{A. I.\} and Zakharov, \{V. I.\}",

year = "1978",

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doi = "10.1016/0370-2693(78)90908-5",

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pages = "471--474",

journal = "Physics Letters B",

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T1 - Estimate of effective size of instantons

AU - Shifman, M. A.

AU - Vainshtein, A. I.

AU - Zakharov, V. I.

PY - 1978/6/19

Y1 - 1978/6/19

N2 - We study instanton contribution into the vacuum expectation value of the gluon field strength tensor squared, 〈O{divides}GμνaGμνa{div ides}O〉. The integral over instanton sizes ρ{variant} diverges at large ρ{variant}, where one-instanton approximation becomes invalid. Cutting the integration off at some ρ{variant}c and comparing the result with the phenomenological number for the vacuum expectation value we find ρ{variant}c∼ 1 200 MeV.

AB - We study instanton contribution into the vacuum expectation value of the gluon field strength tensor squared, 〈O{divides}GμνaGμνa{div ides}O〉. The integral over instanton sizes ρ{variant} diverges at large ρ{variant}, where one-instanton approximation becomes invalid. Cutting the integration off at some ρ{variant}c and comparing the result with the phenomenological number for the vacuum expectation value we find ρ{variant}c∼ 1 200 MeV.

UR - https://www.scopus.com/pages/publications/0008043449

UR - https://www.scopus.com/pages/publications/0008043449#tab=citedBy

U2 - 10.1016/0370-2693(78)90908-5

DO - 10.1016/0370-2693(78)90908-5

M3 - Article

AN - SCOPUS:0008043449

SN - 0370-2693

VL - 76

SP - 471

EP - 474

JO - Physics Letters B

JF - Physics Letters B

IS - 4

ER -

Estimate of effective size of instantons

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