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Global Symmetries, Volume Independence, and Continuity in Quantum Field Theories
1Department of Physics, North Carolina State University, Raleigh, North Carolina 27695, USA and Philippe Meyer Institute, Physics Department, Ecole Normale Supérieure, PSL Research University, 24 rue Lhomond, F-75231 Paris Cedex 05, France.
Physical Review Letters
|January 21, 2017
Summary
Large-N volume independence is demonstrated for quantum field theories with twisted boundary conditions. The CP(N-1) theory avoids the Affleck phase transition, supporting the Ünsal-Dunne continuity conjecture.
Area of Science:
- Theoretical Physics
- Quantum Field Theory
- High Energy Physics
Background:
- Quantum field theories with global symmetries (SU(N), O(N)) are studied.
- Temporal direction compactified on a circle with twisted boundary conditions is considered.
Purpose of the Study:
- To investigate large-N volume independence for these theories.
- To analyze the behavior of CP(N-1) and O(N) nonlinear sigma models.
- To confirm the Ünsal-Dunne continuity conjecture.
Main Methods:
- Analysis of quantum field theories with twisted boundary conditions.
- General arguments and specific proofs for CP(N-1) and O(N) nonlinear sigma models.
- Investigation of the Affleck phase transition.
Main Results:
- Large-N volume independence is shown to hold for the discussed theories.
- The CP(N-1) theory is proven to be free from the Affleck phase transition.
- The results support the Ünsal-Dunne continuity conjecture.
Conclusions:
- Twisted boundary conditions in compactified dimensions lead to volume independence in the large-N limit.
- The CP(N-1) model exhibits continuous behavior, validating theoretical predictions.
- This work provides insights into the non-perturbative aspects of quantum field theories.
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