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Two-color gauge theory with novel infrared behavior
T Appelquist1, R C Brower2, M I Buchoff3
1Department of Physics, Sloane Laboratory, Yale University, New Haven, Connecticut 06520, USA.
This study of SU(2) gauge theory found no evidence for an infrared fixed point. The theory may exhibit novel behavior through a strong fixed point or chiral symmetry breaking with many Nambu-Goldstone bosons.
Area of Science:
- High Energy Physics
- Quantum Field Theory
- Lattice Gauge Theory
Background:
- SU(2) gauge theory with six massless Dirac fermions is a key model for studying fundamental interactions.
- Understanding the infrared (long-distance) behavior of quantum field theories is crucial for describing phenomena like confinement and chiral symmetry breaking.
Purpose of the Study:
- Investigate the infrared dynamics of SU(2) gauge theory with six massless fermions.
- Determine if the theory possesses an infrared fixed point using nonperturbative methods.
Main Methods:
- Utilized lattice simulations to model the quantum field theory.
- Computed the running gauge coupling via the nonperturbative Schrödinger functional method.
Main Results:
- No evidence for an infrared fixed point was found for gauge couplings up to g(2) ~ 20.
- The results suggest either a very strong, currently unobserved fixed point or chiral symmetry breaking.
Conclusions:
- The SU(2) gauge theory with six massless fermions exhibits novel infrared behavior.
- Possible scenarios include a strong infrared fixed point or chiral symmetry breaking leading to numerous Nambu-Goldstone bosons.
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