Two-point correlators in N=2 gauge theories

Billò, M.; Fucito, F.; Lerda, A.; Morales, J. F.; Stanev, Ya. S.; Wen, Congkao

doi:10.1016/j.nuclphysb.2017.11.003

Title: Two-point correlators in $N = 2$ gauge theories

Journal Article · 11 November 2017 · Nuclear Physics. B

DOI: https://doi.org/10.1016/j.nuclphysb.2017.11.003 · OSTI ID:1437882

^[1]; Fucito, F. ^[2];

^[3]; Morales, J. F. ^[2]; Stanev, Ya. S. ^[2]; Wen, Congkao ^[4]

Univ. di Torino, Torino (Italy); Arnold-Regge Center and I.N.F.N. - sezione di Torino, Torino (Italy)
I.N.F.N. - sezione di Roma Tor Vergata, Roma (Italy)
Univ. del Piemonte Orientale, Alessandria (Italy); Arnold-Regge Center and I.N.F.N. - sezione di Torino, Torino (Italy)
California Inst. of Technology (CalTech), Pasadena, CA (United States); Univ. of California, Los Angeles, CA (United States)

Here, we consider two-point correlators in SU(N) gauge theories on R⁴ with N = 2 supersymmetry and N_f massless hypermultiplets in the fundamental representation. Using localization on S₄, we compute the leading perturbative corrections to the two-point functions of chiral/anti-chiral operators made of scalar fields. The results are compared at two and three loops against direct field theory computations for some special operators whose correlators remain finite in perturbation theory at the specific loop order. In the conformal case, the match is shown up to two loops for a generic choice of operators and for arbitrary N.

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Research Organization:: California Institute of Technology (CalTech), Pasadena, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0010255; 2015MP2CX4

OSTI ID:: 1437882

Alternate ID(s):: OSTI ID: 1502432

Journal Information:: Nuclear Physics. B, Vol. 926, Issue C; ISSN 0550-3213

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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