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Aspects of field theories in the light-cone formalism

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dc.contributor.advisor ANANTH, SUDARSHAN en_US
dc.contributor.author SHAH, NABHA en_US
dc.date.accessioned 2018-05-17T03:05:05Z
dc.date.available 2018-05-17T03:05:05Z
dc.date.issued 2018-05 en_US
dc.identifier.uri http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/1004
dc.description.abstract An ultraviolet finite theory of quantum gravity has been elusive. Gravity coupled to higher spin fields, described by the Vasiliev model, is one candidate for a finite theory of gravity but it has no known action principle. This thesis presents a light-cone method to determine interaction vertices, and hence Lagrangians, by demanding closure of the symmetry algebra of the background spacetime. In particular, we discuss the derivation of cubic interaction vertices for massless fields of arbitrary spin and quartic interaction vertices for spin-1 fields in four-dimensional Minkowski spacetime. The requirement of antisymmetric constants for odd spin fields is noted at the cubic level. It is observed that, at the quartic level, algebra closure forces the Jacobi identity onto these constants and dictates the existence of a gauge group. Some of the work being done to extend this method to higher spin fields in AdS4 is included. In addition, this thesis describes certain features of the pure gravity Hamiltonian that may point to hidden symmetries in the theory. We find that the Hamiltonian can be expressed as a quadratic form and determine its residual reparametrization invariances. The transformation properties of the quadratic form structure are studied. en_US
dc.language.iso en en_US
dc.subject 2018
dc.subject light-cone en_US
dc.subject Yang-Mills theory en_US
dc.subject Gravity en_US
dc.subject Higher spin fields en_US
dc.subject light-cone symmetry algebra en_US
dc.subject Physics en_US
dc.title Aspects of field theories in the light-cone formalism en_US
dc.type Thesis en_US
dc.type.degree BS-MS en_US
dc.contributor.department Dept. of Physics en_US
dc.contributor.registration 20131121 en_US


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  • MS THESES [1705]
    Thesis submitted to IISER Pune in partial fulfilment of the requirements for the BS-MS Dual Degree Programme/MSc. Programme/MS-Exit Programme

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