Renormalons in a general Quantum Field Theory

We generalize the concept of Borel resummability and renormalons to a quantum field theory with an arbitrary number of fields and couplings, starting from the known notion based on the running coupling constants. An approach to identify the renormalons is provided by exploiting an analytic solution...

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Bibliographic Details
Published inAnnals of physics Vol. 394; pp. 84 - 97
Main Authors Maiezza, Alessio, Vasquez, Juan Carlos
Format Journal Article
LanguageEnglish
Published United States Elsevier Inc 01.07.2018
Subjects
ANALYTICAL SOLUTION
Borel resummability
COUPLING CONSTANTS
COUPLINGS
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM FIELD THEORY
RENORMALIZATION
Renormalization group equation
Renormalon
SCALAR FIELDS
99-00
Renormalon
Borel resummability
00-01
Renormalization group equation
Quantum Field Theory
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Summary:We generalize the concept of Borel resummability and renormalons to a quantum field theory with an arbitrary number of fields and couplings, starting from the known notion based on the running coupling constants. An approach to identify the renormalons is provided by exploiting an analytic solution of the generic one-loop renormalization group equations in multi-field theories. Methods to evaluate the regions in coupling space where the theory is resummable are described. The generalization is then illustrated in a toy model with two coupled scalar fields, representing the simplest extension of the one-field analysis presented in the seminal works of the subject. Furthermore, possible links to realistic theories are briefly discussed.
ISSN:0003-4916
1096-035X
DOI:10.1016/j.aop.2018.04.027