How Do Strings Radiate?

doi:10.1103/PhysRevD.8.4457

Title: How Do Strings Radiate?

Abstract

An invariant regulator field method is applied to the construction of vector-current vertices in a dual resonance model. If it is not required that the regulators be fully conformally invariant, but only that they have the invariance required for duality, Gaussian factors can be eliminated consistently from both the elastic form factor and the deep-inelastic structure functions. This method introduces new ghost states which can be pushed to arbitrarily large mass by judicious choice of the regulator parameters. However, there are still ghosts at low levels from the basic dynamical oscillator field, as in the Veneziano model with intercept α ( 0 ) ≠ 1 . The structure function νW₂ does not scale in the model. The physical interpretation of this result is discussed in detail.

Authors:

Willemsen, Jorge F. ^[1]

SLAC National Accelerator Lab., Menlo Park, CA (United States)

Publication Date:: 1973-12-15

Research Org.:: SLAC National Accelerator Lab., Menlo Park, CA (United States)

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1442895

Report Number(s):: SLAC-PUB-1285
Journal ID: ISSN 0556-2821; PRVDAQ

Grant/Contract Number:: AC02-76SF00515

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review. D, Particles Fields

Additional Journal Information:: Journal Volume: 8; Journal Issue: 12; Journal ID: ISSN 0556-2821

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Willemsen, Jorge F. How Do Strings Radiate?.  United States: N. p., 1973. 
        Web.  doi:10.1103/PhysRevD.8.4457.

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                    Willemsen, Jorge F. How Do Strings Radiate?.  United States.  doi:10.1103/PhysRevD.8.4457.

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                    Willemsen, Jorge F. Sat .  
        "How Do Strings Radiate?".  United States.  doi:10.1103/PhysRevD.8.4457.  https://www.osti.gov/servlets/purl/1442895.

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@article{osti_1442895,

  title        = {How Do Strings Radiate?},

  author       = {Willemsen, Jorge F.},

  abstractNote = {An invariant regulator field method is applied to the construction of vector-current vertices in a dual resonance model. If it is not required that the regulators be fully conformally invariant, but only that they have the invariance required for duality, Gaussian factors can be eliminated consistently from both the elastic form factor and the deep-inelastic structure functions. This method introduces new ghost states which can be pushed to arbitrarily large mass by judicious choice of the regulator parameters. However, there are still ghosts at low levels from the basic dynamical oscillator field, as in the Veneziano model with intercept α ( 0 ) ≠ 1 . The structure function νW2 does not scale in the model. The physical interpretation of this result is discussed in detail.},

  doi          = {10.1103/PhysRevD.8.4457},

  journal      = {Physical Review. D, Particles Fields},

  number       = 12,

  volume       = 8,

  place        = {United States},

  year         = {1973},

  month        = {12}

}

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DOI: 10.1103/PhysRevD.8.4457

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Works referenced in this record:

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Got\=o, Tetsuo
Progress of Theoretical Physics, Vol. 46, Issue 5
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Subsidiary Conditions and Ghosts in Dual-Resonance Models
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Off-mass-shell extrapolation of the dual-resonance amplitude
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Dual-Resonance Model of Vector Currents: A Representation of Current Algebra
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Statistical Approach to the Veneziano Model
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Inelastic Electron-Proton and $γ$ -Proton Scattering and the Structure of the Nucleon
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Dynamics Underlying Duality and Gauge Invariance in the Dual-Resonance Models
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Electromagnetic Currents in Dual Hadrodynamics
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Direct-Channel Resonance Model of Deep-Inelastic Electron Scattering. I. Scattering on Unpolarized Targets
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Takabayasi, Takehiko
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Generalizations of dual models
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New Dual Models of Currents
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Does W1 scale ?
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Title: How Do Strings Radiate?

Abstract

Citation Formats

Relativistic Quantum Mechanics of One-Dimensional Mechanical Continuum and Subsidiary Condition of Dual Resonance Model journal, November 1971

Subsidiary Conditions and Ghosts in Dual-Resonance Models journal, May 1970

Off-mass-shell extrapolation of the dual-resonance amplitude journal, June 1971

Dual-Resonance Model of Vector Currents: A Representation of Current Algebra journal, September 1972

Elastic and Inelastic Form Factors of the Nucleons and Deep-Inelastic Electroproduction journal, March 1972

Manifestly crossing-invariant parametrization of n-meson amplitude journal, September 1969

Model of Nonstrange Currents and Mesons journal, December 1973

Gauge conditions in dual resonance models journal, May 1972

Spectrum-Generating Algebra and No-Ghost Theorem for the Dual Model journal, September 1972

Deep-Inelastic Electroproduction, Scaling, and Form Factors of the Nucleon in a Bremsstrahlung Model journal, March 1972

Radiative corrections in the non-relativistic limit journal, January 1950

Quantum dynamics of a massless relativistic string journal, May 1973

Deep inelastic electron-proton and electron-neutron scattering journal, April 1972

Statistical Approach to the Veneziano Model journal, March 1970

Dual amplitudes for currents journal, December 1971

Inelastic Electron-Proton and γ -Proton Scattering and the Structure of the Nucleon journal, September 1969

A parton theory based on the dual resonance model journal, May 1971

Ward-like identities and twisting operator in dual resonance models journal, December 1969

New form factors in the dual resonance model journal, October 1972

Finite-Energy Sum Rules and Their Application to π N Charge Exchange journal, February 1968

Scaling, Duality, and the Behavior of Resonances in Inelastic Electron-Proton Scattering journal, October 1970

Correspondence Arguments for High-Energy Collisions journal, September 1973

Dynamics Underlying Duality and Gauge Invariance in the Dual-Resonance Models journal, May 1972

Currents and Green's functions for dual models — I journal, May 1972

Electromagnetic Currents in Dual Hadrodynamics journal, August 1971

Direct-Channel Resonance Model of Deep-Inelastic Electron Scattering. I. Scattering on Unpolarized Targets journal, March 1971

Factorization Properties of the Dual Resonance Model: A General Treatment of Linear Dependences journal, December 1969

On Origin and Physical Meaning of Ward-Like Identity in Dual-Resonance Model journal, November 1971

Detailed Wave Equation and Dual Amplitude * : Relativistic Quantum Dynamics of String Model of Hadrons journal, November 1971

Generalizations of dual models journal, November 1971

New Dual Models of Currents journal, March 1973

Does W1 scale ? journal, April 1971

Relativistic Quantum Mechanics of One-Dimensional Mechanical Continuum and Subsidiary Condition of Dual Resonance Model
journal, November 1971

Subsidiary Conditions and Ghosts in Dual-Resonance Models
journal, May 1970

Off-mass-shell extrapolation of the dual-resonance amplitude
journal, June 1971

Dual-Resonance Model of Vector Currents: A Representation of Current Algebra
journal, September 1972

Elastic and Inelastic Form Factors of the Nucleons and Deep-Inelastic Electroproduction
journal, March 1972

Manifestly crossing-invariant parametrization of n-meson amplitude
journal, September 1969

Model of Nonstrange Currents and Mesons
journal, December 1973

Gauge conditions in dual resonance models
journal, May 1972

Spectrum-Generating Algebra and No-Ghost Theorem for the Dual Model
journal, September 1972

Deep-Inelastic Electroproduction, Scaling, and Form Factors of the Nucleon in a Bremsstrahlung Model
journal, March 1972

Radiative corrections in the non-relativistic limit
journal, January 1950

Quantum dynamics of a massless relativistic string
journal, May 1973

Deep inelastic electron-proton and electron-neutron scattering
journal, April 1972

Statistical Approach to the Veneziano Model
journal, March 1970

Dual amplitudes for currents
journal, December 1971

Inelastic Electron-Proton and $γ$ -Proton Scattering and the Structure of the Nucleon
journal, September 1969

A parton theory based on the dual resonance model
journal, May 1971

Ward-like identities and twisting operator in dual resonance models
journal, December 1969

New form factors in the dual resonance model
journal, October 1972

Finite-Energy Sum Rules and Their Application to $π N$ Charge Exchange
journal, February 1968

Scaling, Duality, and the Behavior of Resonances in Inelastic Electron-Proton Scattering
journal, October 1970

Correspondence Arguments for High-Energy Collisions
journal, September 1973

Dynamics Underlying Duality and Gauge Invariance in the Dual-Resonance Models
journal, May 1972

Currents and Green's functions for dual models — I
journal, May 1972

Electromagnetic Currents in Dual Hadrodynamics
journal, August 1971

Direct-Channel Resonance Model of Deep-Inelastic Electron Scattering. I. Scattering on Unpolarized Targets
journal, March 1971

Factorization Properties of the Dual Resonance Model: A General Treatment of Linear Dependences
journal, December 1969

On Origin and Physical Meaning of Ward-Like Identity in Dual-Resonance Model
journal, November 1971

Detailed Wave Equation and Dual Amplitude ^* : Relativistic Quantum Dynamics of String Model of Hadrons
journal, November 1971

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journal, November 1971

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journal, March 1973

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journal, April 1971