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From the S-Matrix to the Lattice : = Bootstrapping QFTs.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	From the S-Matrix to the Lattice :/
其他題名:	Bootstrapping QFTs.
作者:	Gabai, Barak.
面頁冊數:	1 online resource (181 pages)
附註:	Source: Dissertations Abstracts International, Volume: 84-12, Section: B.
Contained By:	Dissertations Abstracts International84-12B.
標題:	Theoretical physics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=30491985click for full text (PQDT)
ISBN:	9798379604264

From the S-Matrix to the Lattice : = Bootstrapping QFTs.
Gabai, Barak.

From the S-Matrix to the Lattice :Bootstrapping QFTs. - 1 online resource (181 pages)

Source: Dissertations Abstracts International, Volume: 84-12, Section: B.

Thesis (Ph.D.)--Harvard University, 2023.

Includes bibliographical references

In this thesis, I present our attempts to formulate new bootstrap approaches to Quantum Field Theories. The main goal of these approaches is to offer complementary techniques to the Effective Field Theory paradigm. Namely, techniques that allow one to constrain IR observables using UV knowledge. For example, we may assume the existence of a local UV completion or detailed information about a UV lattice description.The first approach we present utilizes S-matrix bootstrap to turn "experimental" data, the low energy scattering phase, into rigorous information about the existence or nonexistence of resonances in a two-dimensional theory of massive particles. As a zeroth step towards generalization to higher dimensions, we also report on progress in the study of scattering in Chern-Simons theory coupled to fundamental matter, which we hope will enable formulation of its S-matrix bootstrap problem in the near future. It will be the first S-matrix bootstrap problem studied in which Anyonic properties are directly involved. In order to set up the second approach, we have studied the line operators that can appear in the conformal Chern-Simons theory coupled to fundamental matter. Their endpoints are the Anyons of the conformal theory. The lines obey constraints from conformal symmetry and a set of loop equations which allow setting up a bootstrap for correlators of straight lines.In the third approach, we show that equations of motion together with reflection positivity severely constrain correlators of the Ising statistical model on the lattice. Namely, we derive rigorous two-sided bounds on spin correlators through semi-definite programming.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2023

Mode of access: World Wide Web

ISBN: 9798379604264Subjects--Topical Terms:

2144760
Theoretical physics.
Subjects--Index Terms:

S-matrixIndex Terms--Genre/Form:

542853
Electronic books.

From the S-Matrix to the Lattice : = Bootstrapping QFTs.
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504 $a Includes bibliographical references
520 $a In this thesis, I present our attempts to formulate new bootstrap approaches to Quantum Field Theories. The main goal of these approaches is to offer complementary techniques to the Effective Field Theory paradigm. Namely, techniques that allow one to constrain IR observables using UV knowledge. For example, we may assume the existence of a local UV completion or detailed information about a UV lattice description.The first approach we present utilizes S-matrix bootstrap to turn "experimental" data, the low energy scattering phase, into rigorous information about the existence or nonexistence of resonances in a two-dimensional theory of massive particles. As a zeroth step towards generalization to higher dimensions, we also report on progress in the study of scattering in Chern-Simons theory coupled to fundamental matter, which we hope will enable formulation of its S-matrix bootstrap problem in the near future. It will be the first S-matrix bootstrap problem studied in which Anyonic properties are directly involved. In order to set up the second approach, we have studied the line operators that can appear in the conformal Chern-Simons theory coupled to fundamental matter. Their endpoints are the Anyons of the conformal theory. The lines obey constraints from conformal symmetry and a set of loop equations which allow setting up a bootstrap for correlators of straight lines.In the third approach, we show that equations of motion together with reflection positivity severely constrain correlators of the Ising statistical model on the lattice. Namely, we derive rigorous two-sided bounds on spin correlators through semi-definite programming.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2023
538 $a Mode of access: World Wide Web
650 4 $a Theoretical physics. $3 2144760
650 4 $a Quantum physics. $3 726746
653 $a S-matrix
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653 $a Anyonic properties
653 $a UV lattice
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773 0 $t Dissertations Abstracts International $g 84-12B.
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