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Construct an interacting field-theoretic framework for two-time physics using an action formalism governed by BRST gauge symmetry.

October 20, 2006Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fieldsOpen Access

Interacting two-time physics field theory with a BRST gauge invariant action

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Authors

IBItzhak BarsUniversity of Southern California YKYueh‐Cheng KuoNational Chengchi University

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Implication

Theoretical modeling demonstrates interacting two-time physics through a BRST gauge invariant action, suggesting a unified framework linking diverse one-time field theories via gauge fixing.

Key Points

Construct an interacting field-theoretic framework for two-time physics using an action formalism governed by BRST gauge symmetry.
Developed a field theory action for spinless particles in d+2 dimensions using a Becchi-Rouet-Stora-Tyutin (BRST) formulation grounded in underlying Sp(2,R) gauge symmetry.
Applied specific gauge-fixing conditions to project the higher-dimensional two-time field theory down into standard (d-1)+1 dimensional spacetime.
Formulated a BRST gauge-invariant action where particle interactions are uniquely dictated by BRST symmetry, contrasting with Chern-Simons formulations in open string field theory.
Demonstrated that fixing a specific gauge reproduces the standard Klein-Gordon field theory in (d-1)+1 dimensions alongside unique SO(d,2) conformal self-interactions.
Established that alternative gauge choices yield distinct SO(d,2)-invariant one-time theories, framing BRST gauge transformations as dualities connecting different holographic images of the parent theory.

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Bars et al. (2006) studied this question.

synapsesocial.com/papers/6aa31e1c3523c072c82587cb https://doi.org/10.1103/physrevd.74.085020

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Implication

Theoretical modeling demonstrates interacting two-time physics through a BRST gauge invariant action, suggesting a unified framework linking diverse one-time field theories via gauge fixing.

Interacting two-time physics field theory with a BRST gauge invariant action

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Implication

Key Points

Cite This Study

Interacting two-time physics field theory with a BRST gauge invariant action

Discussion

Member takes

Implication

Key Points

Cite This Study

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