Topics in conformal invariance and generalized sigma models

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This thesis consists of two different parts, having in common the fact that in both, conformal invariance plays a central role. In the first part, the author derives conditions for conformal invariance, in the large N limit, and for the existence of an infinite number of commuting classical conserved quantities, in the Generalized Thirring Model. The treatment uses the bosonized version of the model. Two different approaches are used to derive conditions for conformal invariance: the background field method and the Hamiltonian method based on an operator algebra, and the agreement between them is established. The author constructs two infinite ... continued below

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80 p.

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Bernardo, L.M. May 1, 1997.

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This thesis or dissertation is part of the collection entitled: Office of Scientific & Technical Information Technical Reports and was provided by UNT Libraries Government Documents Department to Digital Library, a digital repository hosted by the UNT Libraries. More information about this document can be viewed below.

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  • Bernardo, L.M. Lawrence Berkeley National Lab., CA (United States). Theoretical Physics Group

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Description

This thesis consists of two different parts, having in common the fact that in both, conformal invariance plays a central role. In the first part, the author derives conditions for conformal invariance, in the large N limit, and for the existence of an infinite number of commuting classical conserved quantities, in the Generalized Thirring Model. The treatment uses the bosonized version of the model. Two different approaches are used to derive conditions for conformal invariance: the background field method and the Hamiltonian method based on an operator algebra, and the agreement between them is established. The author constructs two infinite sets of non-local conserved charges, by specifying either periodic or open boundary conditions, and he finds the Poisson Bracket algebra satisfied by them. A free field representation of the algebra satisfied by the relevant dynamical variables of the model is also presented, and the structure of the stress tensor in terms of free fields (and free currents) is studied in detail. In the second part, the author proposes a new approach for deriving the string field equations from a general sigma model on the world sheet. This approach leads to an equation which combines some of the attractive features of both the renormalization group method and the covariant beta function treatment of the massless excitations. It has the advantage of being covariant under a very general set of both local and non-local transformations in the field space. The author applies it to the tachyon, massless and first massive level, and shows that the resulting field equations reproduce the correct spectrum of a left-right symmetric closed bosonic string.

Physical Description

80 p.

Notes

INIS; OSTI as DE97008856

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  • Other Information: TH: Thesis (Ph.D.)

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  • Other: DE97008856
  • Report No.: LBNL--40474
  • Report No.: UCB-PTH--97/35
  • Grant Number: AC03-76SF00098
  • Office of Scientific & Technical Information Report Number: 527532
  • Archival Resource Key: ark:/67531/metadc698069

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  • May 1, 1997

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  • Aug. 14, 2015, 8:43 a.m.

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  • Aug. 23, 2016, 3:48 p.m.

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Bernardo, L.M. Topics in conformal invariance and generalized sigma models, thesis or dissertation, May 1, 1997; California. (digital.library.unt.edu/ark:/67531/metadc698069/: accessed August 19, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.