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Abstract:

We compute the expectation value of the 1/2 BPS circular Wilson loop operator in ABJ(M) theory at two loops in perturbation theory. Our result turns out to be in exact agreement with the weak coupling limit of the prediction coming from localization, including finite N contributions associated to non-planar diagrams. It also confirms the identification of the correct framing factor that connects framing-zero and framingoneexpressions, previously proposed. The evaluation of the 1/2 BPS operator is made technically difficult in comparison with other observables of ABJ(M) theory by the appearance of integrals involving the coupling between fermions and gauge fields, which are absent for instance in the 1/6 BPS case. We describe in detail how to analytically solve these integrals in dimensional regularization with dimensional reduction (DRED). By suitably performing the physical limit to three dimensions we clarify the role played by short distance divergences on the final result and the mechanism of their cancellation. © SISSA 2013.

Registro:

Documento: Artículo
Título:The 1/2 BPS Wilson loop in ABJ(M) at two loops: The details
Autor:Bianchi, M.S.; Giribet, G.; Leonib, M.; Penatic, S.
Filiación:Institut fur Physik, Humboldt-Universitat zu Berlin, Newtonstrabe 15, 12489 Berlin, Germany
Physics Department, FCEyN-UBA and IFIBA-CONICET, Ciudad Universitaria, Pabellon I, 1428, Buenos Aires, Argentina
Dipartimento di Fisica, Universita Degli Studi di Milano-Bicocca and INFN, Sezione di Milano-Bicocca, Piazza della Scienza 3, I-20126-Milano, Italy
Palabras clave:Chern-Simons Theories; Matrix Models; Wilson 't Hooft and Polyakov loops
Año:2013
Volumen:2013
Número:10
DOI: http://dx.doi.org/10.1007/JHEP10(2013)085
Título revista:Journal of High Energy Physics
Título revista abreviado:J. High Energy Phys.
ISSN:11266708
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2013_n10_p_Bianchi

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Citas:

---------- APA ----------
Bianchi, M.S., Giribet, G., Leonib, M. & Penatic, S. (2013) . The 1/2 BPS Wilson loop in ABJ(M) at two loops: The details. Journal of High Energy Physics, 2013(10).
http://dx.doi.org/10.1007/JHEP10(2013)085
---------- CHICAGO ----------
Bianchi, M.S., Giribet, G., Leonib, M., Penatic, S. "The 1/2 BPS Wilson loop in ABJ(M) at two loops: The details" . Journal of High Energy Physics 2013, no. 10 (2013).
http://dx.doi.org/10.1007/JHEP10(2013)085
---------- MLA ----------
Bianchi, M.S., Giribet, G., Leonib, M., Penatic, S. "The 1/2 BPS Wilson loop in ABJ(M) at two loops: The details" . Journal of High Energy Physics, vol. 2013, no. 10, 2013.
http://dx.doi.org/10.1007/JHEP10(2013)085
---------- VANCOUVER ----------
Bianchi, M.S., Giribet, G., Leonib, M., Penatic, S. The 1/2 BPS Wilson loop in ABJ(M) at two loops: The details. J. High Energy Phys. 2013;2013(10).
http://dx.doi.org/10.1007/JHEP10(2013)085