7th International Conference on New Frontiers in Physics (ICNFP2018)

Session

Workshop on Resurgent Asymptotics in Physics and Mathematics

Jul 9, 2018, 11:00 AM

181. PT-symmetric quantum field theory

Prof. Carl Bender (Washington University in St. Louis)

7/9/18, 11:00 AM

Oral presentation

PT-symmetric quantum mechanics began with a study of the Hamiltonian $H=p^2+ x^2(ix)^\epsilon$. The surprising feature of this non-Hermitian Hamiltonian is that its eigenvalues are discrete, real, and positive when $\epsilon>0$. In this talk we study the corresponding quantum-field-theoretic Hamiltonian $H=(\partial\phi)^2 +\phi^2(i\phi)^\epsilon$ in D-dimensional space-time, where $\phi$ is a...

193. Resurgence: foundations, universality and applications

Prof. Ovidiu Costin (The Ohio State University)

7/9/18, 11:50 AM

Oral presentation

Resurgence is a deep phenomenon found in a wide spectrum of mathematical and physical models. I will try to explain why this is the case and demonstrate its power, much of which lies still ahead.

231. Instantons in the Hofstadter butterfly

Dr Yasuyuki Hatsuda (Rikkyo University)

7/9/18, 12:40 PM

Oral presentation

I will talk on instanton effects in the Hofstadter problem.

190. Resurgence in Chern-Simons theory

Pavel Putrov (Institute for Advanced Study)

7/9/18, 3:00 PM

Oral presentation

In my talk I will describe application of resurgence to Chern-Simons topological quantum field theory on closed 3-manifolds.

176. Resurgence in String Theory

Prof. Ricardo Schiappa (University of Lisbon)

7/10/18, 11:00 AM

Oral presentation

An overview of recent developments in the applications of resurgence and transseries to string theory and 2d quantum gravity.

212. Asymptotics of the rolling tachyon

Dr Martin Schnabl (CEICO, Institute of Physics of the Czech Academy of Sciences)

7/10/18, 11:50 AM

Oral presentation

We address the puzzle of the light-like rolling in linear dilaton background relaxing to the tachyon vacuum. While we expect no perturbative fluctuations around the tachyon vacuum, and yet the tachyon relaxes to the vacuum, the resolution of this paradox comes in the form of an asymptotic series.

178. Analytic Transseries Summation for Painlevé I

Marcel Vonk

7/10/18, 12:40 PM

Oral presentation

In the setting of the Painlevé I equation, which can be viewed as describing the double scaling limit of 2d quantum gravity, I describe techniques which can lead to a full understanding of the physics and mathematics encoded in resurgent asymptotic (trans)series.