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Generation and Coherent Control of Pulsed Quantum Frequency Combs

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Quantum Electrodynamics in d=3 from the ε Expansion.

Lorenzo Di Pietro¹, Zohar Komargodski¹, Itamar Shamir¹

¹Department of Particle Physics and Astrophysics, Weizmann Institute of Science, Rehovot 7610001, Israel.

Physical Review Letters

|April 16, 2016

Summary

This summary is machine-generated.

We investigated quantum electrodynamics in three dimensions, finding a critical number of fermion flavors (N_{f}^{c}) that determines theory behavior. Below N_{f}^{c}, chiral symmetry breaking occurs, impacting quantum field theory dynamics.

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Area of Science:

Quantum Field Theory
Condensed Matter Physics
High Energy Physics

Background:

Quantum electrodynamics in 3D (QED3) exhibits complex behavior depending on fermion flavor number (N_{f}).
Chiral symmetry breaking is a key phenomenon in such theories for N_{f} below a critical value (N_{f}^{c}).

Purpose of the Study:

To analyze the infrared (IR) behavior of QED3 using an epsilon expansion around d=4-2ε.
To compute critical exponents and understand the role of fermion bilinear and quadrilinear operators.
To investigate the enhanced symmetries in 3D spinors and their corresponding conserved currents.

Main Methods:

Utilizing an epsilon expansion (d=4-2ε) to study the 3D conformal field theory.
Perturbative calculations of infrared dimensions for fermion operators.
Identifying operators corresponding to enhanced symmetries in 3D.

Main Results:

The epsilon expansion provides estimates for the critical number of flavors (N_{f}^{c}).
Quadrilinear operators can become relevant in the IR for small N_{f}, destabilizing the fixed point.
The dimensions of operators associated with enhanced symmetries at d=3 were computed.

Conclusions:

The study provides insights into the phase structure of QED3, particularly around the chiral symmetry breaking transition.
The epsilon expansion is a viable tool for estimating N_{f}^{c} and understanding operator relevance.
The enhanced symmetries in 3D QED3 and their associated conserved currents are characterized.