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Aspects of Scale Invariant Quantum Field Theory

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자료유형학위논문
서명/저자사항Aspects of Scale Invariant Quantum Field Theory.
개인저자Pal, Sridip.
단체저자명University of California, San Diego. Physics.
발행사항[S.l.]: University of California, San Diego., 2019.
발행사항Ann Arbor: ProQuest Dissertations & Theses, 2019.
형태사항333 p.
기본자료 저록Dissertations Abstracts International 81-04B.
Dissertation Abstract International
ISBN9781687922168
학위논문주기Thesis (Ph.D.)--University of California, San Diego, 2019.
일반주기 Source: Dissertations Abstracts International, Volume: 81-04, Section: B.
Advisor: Intriligator, Kenneth
이용제한사항This item must not be sold to any third party vendors.
요약We study various aspects of scale invariant quantum field theories, in particular, the non-relativistic ones. We explore consequences of symmetry algebra in terms of unitarity bound, existence of monotonic renormalization group flow. We leverage the non relativistic conformal symmetry algebra to construct an operator basis for Heavy Quark Effective Field theory and thereby provide a framework for operator counting in this effective field theory. We investigate the large charge sector of non-relativistic conformal theory and in that limit, we find the scaling of operator dimensions with respect to the charge it carries. In the relativistic counterpart, we focus on 2D conformal field theories (CFT) and explore the consequences of modular invariance of thermal partition function of a 2D CFT. In particular, we investigate the finer details of the asymptotic density of states in 2D CFT using modular invariance and put bounds on asymptotic gap in the spectra.
일반주제명Particle physics.
Condensed matter physics.
Mathematics.
언어영어
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