Nonperturbative phenomena in field theory and gravity, and use of Borel summation to capture nonperturbative information
This thesis is submitted in a partial fulfillment of the requirements for the degree of Bachelor of Science in Physics.
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BRAC University
2018
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| Acesso em linha: | http://hdl.handle.net/10361/9554 |
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10361-95542019-09-30T03:33:21Z Nonperturbative phenomena in field theory and gravity, and use of Borel summation to capture nonperturbative information Rahman, Md Ashiq Majumdar, Dr. Mahabubul Alam Department of Mathematics and Natural Sciences, BRAC University Nonperturbative phenomena Borel summation This thesis is submitted in a partial fulfillment of the requirements for the degree of Bachelor of Science in Physics. Cataloged from PDF version of thesis. Includes bibliographical references (page 82-85). This thesis addresses non-perturbative phenomena and techniques to analyze nonperturbative problems. First, we discuss the simplest non-perturbative example in quantum gravity: blackholes, and how they non-perturbatively emit Hawking Radiation. This is directly linked to the blackhole information paradox. We then discuss non-perturbative phenomena in quantum eld theory. In particular, we discuss instantons in Yang-Mills and large-N sigma models. We discuss Borel summation as a technique to capture non-perturbative terms in a perturbative expansion. We apply Borel summation to the simple Painleve-I system and solve it numerically. Md Ashiq Rahman B. Science in Physics 2018-02-26T05:32:38Z 2018-02-26T05:32:38Z 2017 2017-12 Thesis ID 12211001 http://hdl.handle.net/10361/9554 en BRAC University thesis reports are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. 85 pages application/pdf BRAC University |
| institution |
Brac University |
| collection |
Institutional Repository |
| language |
English |
| topic |
Nonperturbative phenomena Borel summation |
| spellingShingle |
Nonperturbative phenomena Borel summation Rahman, Md Ashiq Nonperturbative phenomena in field theory and gravity, and use of Borel summation to capture nonperturbative information |
| description |
This thesis is submitted in a partial fulfillment of the requirements for the degree of Bachelor of Science in Physics. |
| author2 |
Majumdar, Dr. Mahabubul Alam |
| author_facet |
Majumdar, Dr. Mahabubul Alam Rahman, Md Ashiq |
| format |
Thesis |
| author |
Rahman, Md Ashiq |
| author_sort |
Rahman, Md Ashiq |
| title |
Nonperturbative phenomena in field theory and gravity, and use of Borel summation to capture nonperturbative information |
| title_short |
Nonperturbative phenomena in field theory and gravity, and use of Borel summation to capture nonperturbative information |
| title_full |
Nonperturbative phenomena in field theory and gravity, and use of Borel summation to capture nonperturbative information |
| title_fullStr |
Nonperturbative phenomena in field theory and gravity, and use of Borel summation to capture nonperturbative information |
| title_full_unstemmed |
Nonperturbative phenomena in field theory and gravity, and use of Borel summation to capture nonperturbative information |
| title_sort |
nonperturbative phenomena in field theory and gravity, and use of borel summation to capture nonperturbative information |
| publisher |
BRAC University |
| publishDate |
2018 |
| url |
http://hdl.handle.net/10361/9554 |
| work_keys_str_mv |
AT rahmanmdashiq nonperturbativephenomenainfieldtheoryandgravityanduseofborelsummationtocapturenonperturbativeinformation |
| _version_ |
1814308206550188032 |