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Studies in field theories: MHV verti...

Princeton University.

Studies in field theories: MHV vertices, twistor space, recursion relations and chiral rings.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Studies in field theories: MHV vertices, twistor space, recursion relations and chiral rings.
Author:	Svrcek, Peter.
Description:	176 p.
Notes:	Adviser: Edward Witten.
Notes:	Source: Dissertation Abstracts International, Volume: 66-03, Section: B, page: 1525.
Contained By:	Dissertation Abstracts International66-03B.
Subject:	Physics, Elementary Particles and High Energy.
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3169736
ISBN:	9780542055935

Studies in field theories: MHV vertices, twistor space, recursion relations and chiral rings.
Svrcek, Peter.

Studies in field theories: MHV vertices, twistor space, recursion relations and chiral rings. - 176 p.

Adviser: Edward Witten.

Thesis (Ph.D.)--Princeton University, 2005.

In the last two chapters, we concentrate on the nonperturbative aspects of N = 1 gauge theories. Firstly, we find the complete set of relations of the chiral operators of supersymmetric U(N) gauge theory with adjoint scalar. We demonstrate exact correspondence between the solutions of the chiral ring and the supersymmetric vacua of the gauge theory. We discuss the gaugino condensation in the vacua. Finally, we go on to study the nonperturbative corrections to the Konishi anomaly relations. We show that the Wess-Zumino consistency conditions of the chiral rotations of the matter field imply the absence of the corrections for a wide class of superpotentials.

ISBN: 9780542055935Subjects--Topical Terms:

227490
Physics, Elementary Particles and High Energy.

Studies in field theories: MHV vertices, twistor space, recursion relations and chiral rings.
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020 $a 9780542055935
035 $a 00242668
040 $a UnM $c UnM
100 0 $a Svrcek, Peter. $3 244665
245 1 0 $a Studies in field theories: MHV vertices, twistor space, recursion relations and chiral rings.
300 $a 176 p.
500 $a Adviser: Edward Witten.
500 $a Source: Dissertation Abstracts International, Volume: 66-03, Section: B, page: 1525.
502 $a Thesis (Ph.D.)--Princeton University, 2005.
520 # $a In the last two chapters, we concentrate on the nonperturbative aspects of N = 1 gauge theories. Firstly, we find the complete set of relations of the chiral operators of supersymmetric U(N) gauge theory with adjoint scalar. We demonstrate exact correspondence between the solutions of the chiral ring and the supersymmetric vacua of the gauge theory. We discuss the gaugino condensation in the vacua. Finally, we go on to study the nonperturbative corrections to the Konishi anomaly relations. We show that the Wess-Zumino consistency conditions of the chiral rotations of the matter field imply the absence of the corrections for a wide class of superpotentials.
520 # $a In the next chapter we propose tree-level recursion relations for scattering amplitudes of gravitons. We use the relations to derive simple formulas for all amplitudes up to six gravitons. We prove the relations for MHV and next-to-MHV amplitudes and the eight graviton amplitudes.
520 # $a In the third chapter, we explore the twistor structure of scattering amplitudes in theories for which a twistor string theory analogous to the one for N = 4 gauge theory has not yet been proposed. We study the differential equations of one-loop amplitudes of gluons in gauge theories with reduced supersymmetry and of tree level and one-loop amplitudes of gravitons in general relativity and supergravity. We find that the scattering amplitudes localize in twistor space on algebraic curves that are surprisingly similar to the N = 4 Yang-Mills case.
520 # $a In this thesis we study different aspects of four dimensional field theories. In the first chapter we give introduction and overview of the thesis. In the second chapter we review the connection between perturbative Yang-Mills and twistor string theory. Inspired by this, we propose a new way of constructing Yang-Mills scattering amplitudes from Feynman graphs in which the vertices are off-shell continuations of the tree level MHV amplitudes. The MHV diagrams lead to simple formulas for tree-level amplitudes. We then give a heuristic derivation of the diagrams from twistor string theory.
590 $a School code: 0181.
650 # 0 $a Physics, Elementary Particles and High Energy. $3 227490
690 $a 0798
710 0 # $a Princeton University. $3 212488
773 0 # $g 66-03B. $t Dissertation Abstracts International
790 $a 0181
790 1 0 $a Witten, Edward, $e advisor
791 $a Ph.D.
792 $a 2005
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