Does hot QCD have a conformal manifold in the chiral limit?

Fuente: arXiv
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Autores principales: Chen, Shi, Cherman, Aleksey, Pisarski, Robert D.
Formato: Preprint
Publicado: 2026
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author Chen, Shi
Cherman, Aleksey
Pisarski, Robert D.
author_facet Chen, Shi
Cherman, Aleksey
Pisarski, Robert D.
contents Recent lattice evidence suggests the chiral phase transition in QCD is second-order for $N_f \ge 2$ massless flavors. We constrain CFT descriptions of a critical line in temperature $T$ and imaginary baryon chemical potential $θ_B = iμ_B/T$. An 't Hooft anomaly at general $θ_B$ constrains the transition even at $θ_B = 0$, leaving only three minimal scenarios. The best-motivated scenario for $N_f\ge3$, and perhaps also $N_f = 2$, is beyond Ginzburg-Landau, featuring a conformal manifold of $θ_B$-dependent universality classes with an exactly marginal operator related to baryon density.
format Preprint
id arxiv_https___arxiv_org_abs_2603_09977
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Does hot QCD have a conformal manifold in the chiral limit?
Chen, Shi
Cherman, Aleksey
Pisarski, Robert D.
High Energy Physics - Theory
High Energy Physics - Lattice
High Energy Physics - Phenomenology
Nuclear Theory
Recent lattice evidence suggests the chiral phase transition in QCD is second-order for $N_f \ge 2$ massless flavors. We constrain CFT descriptions of a critical line in temperature $T$ and imaginary baryon chemical potential $θ_B = iμ_B/T$. An 't Hooft anomaly at general $θ_B$ constrains the transition even at $θ_B = 0$, leaving only three minimal scenarios. The best-motivated scenario for $N_f\ge3$, and perhaps also $N_f = 2$, is beyond Ginzburg-Landau, featuring a conformal manifold of $θ_B$-dependent universality classes with an exactly marginal operator related to baryon density.
title Does hot QCD have a conformal manifold in the chiral limit?
topic High Energy Physics - Theory
High Energy Physics - Lattice
High Energy Physics - Phenomenology
Nuclear Theory
url https://arxiv.org/abs/2603.09977