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Mar31Crossing Natural Boundaries using Resurgent Continuation (UConn Physics PAN Seminar)Gant South Building2:00 PM
Griffen Adams
Title: Crossing Natural Boundaries using Resurgent Continuation
Abstract:
In quantum field theory, we are interested in computing quantities via the path integral formalism. This object is generally ill-defined, and we often rely on perturbation theory, or non-perturbative methods such as the lattice. All of these rely on the analytic continuation of the path integral, which is a non-trivial operation that is poorly understood, especially in gauge theories. In this work, we display a novel method of analytically continuing the path integral in a three-dimensional gauge theory using underlying principles of resurgent asymptotics, a branch of complex analysis that has seen recent success in unifying perturbative and non-perturbative physics in various problems in quantum mechanics and quantum field theory. With this perspective, we discover new relations between the path integral and number theoretic objects related to Ramanujan’s mock theta functions. -
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- Crossing Natural Boundaries using Resurgent Continuation (UConn Physics PAN Seminar)Griffen AdamsTitle: Crossing Natural Boundaries using Resurgent ContinuationAbstract:In quantum field theory, we are interested in computing quantities via the path integral formalism. This object is generally ill-defined, and we often rely on perturbation theory, or non-perturbative methods such as the lattice. All of these rely on the analytic continuation of the path integral, which is […]
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