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Nonperturbative Regulator for Chiral Gauge Theories?
Dorota M Grabowska1, David B Kaplan1
1Institute for Nuclear Theory, Box 351550, Seattle, Washington 98195-1550, USA.
Physical Review Letters
|June 11, 2016
Summary
We present a novel lattice method for chiral gauge theories, introducing mirror fermions via gradient flow. This approach offers a new perspective on particle physics and gravity interactions.
Area of Science:
- Lattice Quantum Field Theory
- High Energy Physics
- Chiral Gauge Theories
Background:
- Chiral gauge theories are fundamental to the Standard Model but challenging to simulate on a lattice.
- Existing lattice regularization methods often struggle with gauge invariance and chiral symmetry.
- The need for nonperturbative methods is critical for understanding strongly coupled gauge theories.
Purpose of the Study:
- To develop a nonperturbative, gauge-invariant regulator for d-dimensional chiral gauge theories on the lattice.
- To explore the implications of this construction for the Standard Model and gravity.
Main Methods:
- Simulating domain wall fermions in d+1 dimensions.
- Utilizing quantum gauge fields extended into the bulk via gradient flow from a d-dimensional surface.
- Introducing mirror fermions with an exponentially soft coupling form factor.
Main Results:
- A nonperturbative, gauge-invariant regularization scheme for chiral gauge theories is proposed.
- The construction yields a theory of gauged fermions and mirror fermions.
- A local d-dimensional interpretation requires an anomaly-free chiral fermion representation.
Conclusions:
- The proposed method provides a viable lattice regularization for chiral gauge theories.
- Physical realization suggests the existence of 'invisible' mirror fermions in the Standard Model.
- These mirror fermions may exhibit distinct gravitational interactions, offering new avenues for research.
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