Research Grants 18/01073-5 - Gravitação, Grupo de renormalização - BV FAPESP
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Renormalizability of gauge theories in the first order formalism

Grant number: 18/01073-5
Support Opportunities:Research Grants - Visiting Researcher Grant - International
Start date: June 17, 2018
End date: July 17, 2018
Field of knowledge:Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
Principal Investigator:Fernando Tadeu Caldeira Brandt
Grantee:Fernando Tadeu Caldeira Brandt
Visiting researcher: Dennis Gerard Creasor McKeon
Visiting researcher institution: Western University , Canada
Host Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

We will investigate the properties of renormalizability of gauge theories by employing the first order formalism. More specifically, we would like to examine the way in which higher derivative gravity can be quantized so that the propagator only involves the physical degrees of freedom. It is known that such models are renormalizable, and that they entail eight degrees of freedom, but the problem of unitarity has not been resolved for them. We intend to examine how devising a way of eliminating the non-physical degrees of freedom might serve to render the theory with higher derivatives compatible with unitarity. (AU)

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Scientific publications (12)
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
MCKEON, D. G. C.; BRANDT, F. T.; FRENKEL, J.; MARTINS-FILHO, S.. Consistency conditions for the first-order formulation of Yang-Mills theory. Physical Review D, v. 101, n. 8, . (18/01073-5)
MCKEON, D. G. C.; BRANDT, F. T.; FRENKEL, J.; SAKODA, G. S. S.. Use of Lagrange multiplier fields to eliminate multiloop corrections. Physical Review D, v. 100, n. 12, . (18/01073-5)
BRANDT, F. T.; FRENKEL, J.; MCKEON, D. G. C.. Renormalization of a diagonal formulation of first order Yang-Mills theory. PHYSICAL REVIEW D, v. 98, n. 2, p. 11-pg., . (18/01073-5)
BRANDT, F. T.; FRENKEL, J.; MCKEON, D. G. C.. Renormalization of six-dimensional Yang-Mills theory in a background gauge field. PHYSICAL REVIEW D, v. 99, n. 2, p. 13-pg., . (18/01073-5)
BRANDT, F. T.; FRENKEL, J.; MARTINS-FILHO, S.; MCKEON, D. G. C.. Structural identities in the first-order formulation of quantum gravity. Physical Review D, v. 102, n. 4, . (18/01073-5)
BRANDT, F. T.; FRENKEL, J.; MCKEON, D. G. C.. On restricting to one-loop order the radiative effects in quantum gravity. CANADIAN JOURNAL OF PHYSICS, v. 98, n. 4, p. 344-348, . (18/01073-5)
BRANDT, F. T.; FRENKEL, J.; MCKEON, D. G. C.. Renormalization of a diagonal formulation of first order Yang-Mills theory. Physical Review D, v. 98, n. 2, . (18/01073-5)
BRANDT, F. T.; FRENKEL, J.; MCKEON, D. G. C.. Renormalization of six-dimensional Yang-Mills theory in a background gauge field. Physical Review D, v. 99, n. 2, . (18/01073-5)
BRANDT, F. T.; FRENKEL, J.; MARTINS-FILHO, S.; MCKEON, D. G. C.. On restricting first order form of gauge theories to one-loop order. ANNALS OF PHYSICS, v. 427, . (18/01073-5)
BRANDT, F. T.; FRENKEL, J.; MCKEON, D. G. C.. First order formulation of the Yang-Mills theory in a background field. ANNALS OF PHYSICS, v. 409, . (18/01073-5)
MCKEON, D. G. C.; BRANDT, F. T.; FRENKEL, J.; MARTINS-FILHO, S.. Consistency conditions for the first-order formulation of Yang-Mills theory. PHYSICAL REVIEW D, v. 101, n. 8, p. 13-pg., . (18/01073-5)
MCKEON, D. G. C.; BRANDT, F. T.; FRENKEL, J.; SAKODA, G. S. S.. Use of Lagrange multiplier fields to eliminate multiloop corrections. Physical Review D, v. 100, n. 12, p. 14-pg., . (18/01073-5)

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