Counting rule for Nambu-Goldstone modes in nonrelativistic systems
Yoshimasa Hidaka
TL;DR
This paper presents a counting rule for Nambu-Goldstone modes in nonrelativistic systems, relating their number to broken charges and their commutation relations, using Mori's projection operator method.
Contribution
It introduces a novel counting rule for Nambu-Goldstone modes in nonrelativistic systems based on Mori's method, extending previous understanding.
Findings
Number of NG modes equals broken charges minus half the rank of charge commutators.
Applicable at both zero and finite temperatures.
Provides a systematic way to count NG modes in nonrelativistic systems.
Abstract
The counting rule for Nambu-Goldstone modes is discussed using Mori's projection operator method in nonrelativistic systems at zero and finite temperatures. We show that the number of Nambu-Goldstone modes is equal to the number of broken charges, Q_a, minus half the rank of the expectation value of [Q_a,Q_b].
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.