Zobrazeno 1 - 10
of 59
pro vyhledávání: '"Vonk, Marcel"'
One of the main applications of resurgence in physics is the decoding of nonperturbative effects through large order relations. These relations connect perturbative asymptotic expansions of observables to expansions around other saddle points. Togeth
Externí odkaz:
http://arxiv.org/abs/2312.12497
Publikováno v:
SciPost Phys. 16, 103 (2024)
We calculate the instanton corrections to energy spectra of one-dimensional quantum mechanical oscillators to all orders and unify them in a closed form transseries description. Using alien calculus, we clarify the resurgent structure of these transs
Externí odkaz:
http://arxiv.org/abs/2309.05700
We compute non-perturbative contributions to the Adler function, the derivative of the vacuum polarization function in gauge theory, using resurgence methods and Borel-summed gauge field propagators. At 2-loop, to order $1/N_f$, we construct the full
Externí odkaz:
http://arxiv.org/abs/2302.13715
For more than a century, the Painlev\'e I equation has played an important role in both physics and mathematics. Its two-parameter family of solutions was studied in many different ways, yet still leads to new surprises and discoveries. Two popular t
Externí odkaz:
http://arxiv.org/abs/2204.09062
Autor:
Vonk, Marcel Louis
Proefschrift Universiteit van Amsterdam.
Met lit. opg. - Met samenvatting in het Nederlands.
Met lit. opg. - Met samenvatting in het Nederlands.
Externí odkaz:
http://dare.uva.nl/document/86601
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
Autor:
Vonk, Marcel
The mathematical idea of resurgence allows one to obtain nonperturbative information from the large-order behavior of perturbative expansions. This idea can be very fruitful in physics applications, in particular if one does not have access to such n
Externí odkaz:
http://arxiv.org/abs/1502.05711
The holomorphic anomaly equations describe B-model closed topological strings in Calabi-Yau geometries. Having been used to construct perturbative expansions, it was recently shown that they can also be extended past perturbation theory by making use
Externí odkaz:
http://arxiv.org/abs/1407.4821
The gauge theoretic large N expansion yields an asymptotic series which requires a nonperturbative completion in order to be well defined. Recently, within the context of random matrix models, it was shown how to build resurgent transseries solutions
Externí odkaz:
http://arxiv.org/abs/1308.1695
Nonperturbative effects in string theory are usually associated to D-branes. In many cases it can be explicitly shown that D-brane instantons control the large-order behavior of string perturbation theory, leading to the well-known (2g)! growth of th
Externí odkaz:
http://arxiv.org/abs/1106.5922