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arXiv · 2609.16162

Persistent Spontaneous Time-Reversal Breaking

Michael Smolkin·Lev Yung
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Abstract

We provide an analytic realization of spontaneous parity and time-reversal breaking without thermal restoration in a local, unitary, ultraviolet-complete quantum field theory in $2+1$ dimensions with finitely many fields. The theory is defined by a relevant Yukawa deformation of a product of the critical biconical vector model and free massless Dirac fermions. This deformation induces a renormalization group flow whose infrared endpoint is a decoupled product of the critical vector model and the conformal Gross-Neveu-Yukawa model. At zero temperature, the vacuum preserves both symmetries, whereas upon heating, the theory undergoes an inverse thermal transition at a finite critical temperature. Above this temperature, a fermion mass, odd under parity and time reversal, is dynamically generated, and the broken phase persists to arbitrarily high temperatures.

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Michael Smolkin, Lev Yung. 2026-09-14. Persistent Spontaneous Time-Reversal Breaking. https://arxiv.org/abs/2609.16162

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