Gauge invariant two-point vertices of shadow fields, AdS/CFT, and conformal fields

Metsaev, R R

doi:10.1103/PHYSREVD.81.106002

Title: Gauge invariant two-point vertices of shadow fields, AdS/CFT, and conformal fields

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Abstract

In the framework of gauge invariant Stueckelberg approach, totally symmetric arbitrary spin shadow fields in flat space-time of dimension greater than or equal to four are studied. Gauge invariant two-point vertices for such shadow fields are obtained. We demonstrate that, in Stueckelberg gauge frame, these gauge invariant vertices become the standard two-point vertices of CFT. Light-cone gauge two-point vertices of the shadow fields are also obtained. AdS/CFT correspondence for the shadow fields and the non-normalizable solutions of free massless totally symmetric arbitrary spin AdS fields is studied. AdS fields are considered in a modified de Donder gauge and this simplifies considerably the study of AdS/CFT correspondence. We demonstrate that the bulk action, when it is evaluated on solution of the Dirichlet problem, leads to the two-point gauge invariant vertex of shadow field. Also we show that the bulk action evaluated on solution of the Dirichlet problem leads to new description of conformal fields. The new description involves Stueckelberg gauge symmetries and gives simple higher-derivative Lagrangian for the conformal arbitrary spin field. In the Stueckelberg gauge frame, our Lagrangian becomes the standard Lagrangian of conformal field. Light-cone gauge Lagrangian of the arbitrary spin conformal field is also obtained.

Authors:

Metsaev, R R ^[1]

Department of Theoretical Physics, P.N. Lebedev Physical Institute, Leninsky prospect 53, Moscow 119991 (Russian Federation)

Publication Date:: Sat May 15 00:00:00 EDT 2010

OSTI Identifier:: 21409788

Resource Type:: Journal Article

Journal Name:: Physical Review. D, Particles Fields

Additional Journal Information:: Journal Volume: 81; Journal Issue: 10; Other Information: DOI: 10.1103/PhysRevD.81.106002; (c) 2010 The American Physical Society; Journal ID: ISSN 0556-2821

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; DIRICHLET PROBLEM; GAUGE INVARIANCE; LAGRANGIAN FUNCTION; LIGHT CONE; MANY-DIMENSIONAL CALCULATIONS; MATHEMATICAL SOLUTIONS; QUANTUM FIELD THEORY; SPACE-TIME; SPIN; STRING MODELS; SYMMETRY; ANGULAR MOMENTUM; BOUNDARY-VALUE PROBLEMS; COMPOSITE MODELS; EXTENDED PARTICLE MODEL; FIELD THEORIES; FUNCTIONS; INVARIANCE PRINCIPLES; MATHEMATICAL MODELS; PARTICLE MODELS; PARTICLE PROPERTIES; QUARK MODEL

Citation Formats


                    Metsaev, R R. Gauge invariant two-point vertices of shadow fields, AdS/CFT, and conformal fields.  United States: N. p., 2010. 
        Web.  doi:10.1103/PHYSREVD.81.106002.

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                    Metsaev, R R. Gauge invariant two-point vertices of shadow fields, AdS/CFT, and conformal fields.  United States.  https://doi.org/10.1103/PHYSREVD.81.106002

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                    Metsaev, R R. 2010.  
        "Gauge invariant two-point vertices of shadow fields, AdS/CFT, and conformal fields".  United States.  https://doi.org/10.1103/PHYSREVD.81.106002.

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@article{osti_21409788,

  title        = {Gauge invariant two-point vertices of shadow fields, AdS/CFT, and conformal fields},

  author       = {Metsaev, R R},

  abstractNote = {In the framework of gauge invariant Stueckelberg approach, totally symmetric arbitrary spin shadow fields in flat space-time of dimension greater than or equal to four are studied. Gauge invariant two-point vertices for such shadow fields are obtained. We demonstrate that, in Stueckelberg gauge frame, these gauge invariant vertices become the standard two-point vertices of CFT. Light-cone gauge two-point vertices of the shadow fields are also obtained. AdS/CFT correspondence for the shadow fields and the non-normalizable solutions of free massless totally symmetric arbitrary spin AdS fields is studied. AdS fields are considered in a modified de Donder gauge and this simplifies considerably the study of AdS/CFT correspondence. We demonstrate that the bulk action, when it is evaluated on solution of the Dirichlet problem, leads to the two-point gauge invariant vertex of shadow field. Also we show that the bulk action evaluated on solution of the Dirichlet problem leads to new description of conformal fields. The new description involves Stueckelberg gauge symmetries and gives simple higher-derivative Lagrangian for the conformal arbitrary spin field. In the Stueckelberg gauge frame, our Lagrangian becomes the standard Lagrangian of conformal field. Light-cone gauge Lagrangian of the arbitrary spin conformal field is also obtained.},

  doi          = {10.1103/PHYSREVD.81.106002},

  url          = {https://www.osti.gov/biblio/21409788},
  journal      = {Physical Review. D, Particles Fields},

  issn         = {0556-2821},

  number       = 10,

  volume       = 81,

  place        = {United States},

  year         = {Sat May 15 00:00:00 EDT 2010},

  month        = {Sat May 15 00:00:00 EDT 2010}

}

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