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Standard Model as a Double Field Theory.

Kang-Sin Choi1, Jeong-Hyuck Park2

  • 1Scranton Honors Program, Ewha Womans University, Seodaemun-gu, Seoul 120-750, Korea.

Physical Review Letters
|November 10, 2015
PubMed
Summary

The standard model is reformulated as a double field theory, enabling coupling to stringy gravity. This enhanced symmetry may resolve the strong CP problem by disallowing the CP violating θ term.

Area of Science:

  • Theoretical Physics
  • High Energy Physics
  • String Theory

Background:

  • The Standard Model (SM) is the prevailing theory of particle physics.
  • Unifying the SM with gravity, particularly string theory, remains a significant challenge.
  • The strong CP problem is a long-standing puzzle in particle physics.

Purpose of the Study:

  • To reformulate the Standard Model within the framework of double field theory.
  • To explore the implications of this reformulation for gravitational coupling and symmetries.
  • To investigate potential solutions to the strong CP problem.

Main Methods:

  • Reformulation of the Standard Model as a double field theory.
  • Analysis of O(4,4) T-duality covariance.

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  • Investigation of manifest double local Lorentz symmetries (Spin(1,3)×Spin(3,1)).

    • Main Results:

    • The Standard Model can be consistently formulated as a double field theory without new physical degrees of freedom.
    • This formulation allows coupling to arbitrary stringy gravitational backgrounds in a T-duality covariant manner.
    • The enhanced symmetry potentially forbids the CP violating θ term, offering a solution to the strong CP problem.

    Conclusions:

    • The reformulated Standard Model exhibits enhanced rigidity and stringy properties.
    • Stronger constraints are imposed on higher-order corrections.
    • A speculative assignment of quarks and leptons to different spin classes is proposed.