Resurgence in Quantum Field Theory: Nonperturbative Effects in the Principal Chiral Model

Autor:	Gerald V. Dunne, Aleksey Cherman, Daniele Dorigoni, Mithat Ünsal
Rok vydání:	2014
Předmět:	Physics Instanton High Energy Physics::Lattice High Energy Physics::Phenomenology General Physics and Astronomy Semiclassical physics Theoretical physics Chiral model Quantum mechanics Saddle point Path integral formulation Perturbation theory (quantum mechanics) Quantum field theory Mass gap
Zdroj:	Physical Review Letters. 112
ISSN:	1079-7114 0031-9007
DOI:	10.1103/physrevlett.112.021601
Popis:	We explain the physical role of nonperturbative saddle points of path integrals in theories without instantons, using the example of the asymptotically free two-dimensional principal chiral model (PCM). Standard topological arguments based on homotopy considerations suggest no role for nonperturbative saddles in such theories. However, the resurgence theory, which unifies perturbative and nonperturbative physics, predicts the existence of several types of nonperturbative saddles associated with features of the large-order structure of the perturbation theory. These points are illustrated in the PCM, where we find new nonperturbative ``fracton'' saddle point field configurations, and suggest a quantum interpretation of previously discovered ``uniton'' unstable classical solutions. The fractons lead to a semiclassical realization of IR renormalons in the circle-compactified theory and yield the microscopic mechanism of the mass gap of the PCM.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a5102afb73a3d9b64e22ab47fda2f0bb https://doi.org/10.1103/physrevlett.112.021601 Zobrazit plný text záznamu