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Structure of N=4 SYM.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Structure of N=4 SYM./
作者:	Huang, Yu-tin.
出版者:	Ann Arbor : ProQuest Dissertations & Theses, : 2009,
面頁冊數:	144 p.
附註:	Source: Dissertations Abstracts International, Volume: 71-07, Section: B.
Contained By:	Dissertations Abstracts International71-07B.
標題:	Theoretical physics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3388561
ISBN:	9781109549096

Structure of N=4 SYM.
Huang, Yu-tin.

Structure of N=4 SYM. - Ann Arbor : ProQuest Dissertations & Theses, 2009 - 144 p.

Source: Dissertations Abstracts International, Volume: 71-07, Section: B.

Thesis (Ph.D.)--State University of New York at Stony Brook, 2009.

In the first part of this thesis I present my research into the issue of on-shell structures of N=4 SYM amplitudes at both tree and loop level. In both cases the presence of supersymmetry is incorporated through on-shell superspace. At tree level the recent perturbative expansion inspired from twistor string theory will be given a field theory explanation: it corresponds to a perturbation expansion around the self-dual sector of the action, which is free classically. At loop level, in the absence of off-shell superspace, one can only anticipate a superspace representation for the kinematic invariants in front of the loop integrals. I will present such a description for the non-trivial 6-point one loop NMHV amplitude. Since a large part of this research utilizes spinor helicity formalism, I'll summarize some useful result in the appendix. In the second part, I will discuss an approach for off-shell superspace such that one can compute amplitudes either using first or second quantization methods. Since first quantization may present a closer relation with the string formulation of this theory, I will first introduce first quantization approach for ordinary YM theory as a toy model. This entails the construction of constraints, BRST charge and vertex operators. A useful new result from this study is a recipe to define Green function on spaces that are not a simple line or circle, thus paving the way for multi-loop calculations. Finally a superspace in which such a approach can be used for N=4 SYM will be introduced, it is based on a coset of super-anti de Sitter space, the free constraints will be given along with the ghost structure for BRST quantization. In the end I will give a brief discussion of the second quantized theory.

ISBN: 9781109549096Subjects--Topical Terms:

2144760
Theoretical physics.
Subjects--Index Terms:

Loop amplitude

Structure of N=4 SYM.
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245 1 0 $a Structure of N=4 SYM.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2009
300 $a 144 p.
500 $a Source: Dissertations Abstracts International, Volume: 71-07, Section: B.
500 $a Publisher info.: Dissertation/Thesis.
500 $a Advisor: Siegel, Warren.
502 $a Thesis (Ph.D.)--State University of New York at Stony Brook, 2009.
520 $a In the first part of this thesis I present my research into the issue of on-shell structures of N=4 SYM amplitudes at both tree and loop level. In both cases the presence of supersymmetry is incorporated through on-shell superspace. At tree level the recent perturbative expansion inspired from twistor string theory will be given a field theory explanation: it corresponds to a perturbation expansion around the self-dual sector of the action, which is free classically. At loop level, in the absence of off-shell superspace, one can only anticipate a superspace representation for the kinematic invariants in front of the loop integrals. I will present such a description for the non-trivial 6-point one loop NMHV amplitude. Since a large part of this research utilizes spinor helicity formalism, I'll summarize some useful result in the appendix. In the second part, I will discuss an approach for off-shell superspace such that one can compute amplitudes either using first or second quantization methods. Since first quantization may present a closer relation with the string formulation of this theory, I will first introduce first quantization approach for ordinary YM theory as a toy model. This entails the construction of constraints, BRST charge and vertex operators. A useful new result from this study is a recipe to define Green function on spaces that are not a simple line or circle, thus paving the way for multi-loop calculations. Finally a superspace in which such a approach can be used for N=4 SYM will be introduced, it is based on a coset of super-anti de Sitter space, the free constraints will be given along with the ghost structure for BRST quantization. In the end I will give a brief discussion of the second quantized theory.
590 $a School code: 0771.
650 4 $a Theoretical physics. $3 2144760
653 $a Loop amplitude
653 $a Maximal helicity violation
653 $a Supersymmetry
653 $a Tree amplitude
653 $a Yang-Mills thery
690 $a 0753
710 2 $a State University of New York at Stony Brook. $3 1019194
773 0 $t Dissertations Abstracts International $g 71-07B.
790 $a 0771
791 $a Ph.D.
792 $a 2009
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3388561