QCD on a small circle

Abstract

QCD-like theories can be engineered to remain in a confined phase when compactified on an arbitrarily small circle, where their features may be studied quantitatively in a controlled fashion. Previous work has elucidated the generation of a non-perturbative mass gap and the spontaneous breaking of chiral symmetry in this regime. Here, we study the rich spectrum of hadronic states, including glueball, meson, and baryon resonances. We find an exponentially growing Hagedorn density of states, as well as the emergence of non-perturbative energy scales given by iterated exponentials of the inverse Yang-Mills coupling g 2 .arXiv:1707.08971v1 [hep-th]

Domain walls and deconfinement: a semiclassical picture of discrete anomaly inflow

“…The notation is chosen to emphasize that this is the dimensional reduction of the S 1 L -component of the 4d 1-form center symmetry. As explained in detail in [63,65,66], the 0-form center symmetry acts on the dual photons and their superpartners: 8) and is an exact unbroken global symmetry of the theory (also respected by the Kähler potential terms omitted from (2.5)).…”

“…In a basis independent way, the operation denoted by P in (2.7) is the product of Weyl reflections w.r.t. all simple roots [66], while in the standard N -dimensional basis for the weight vectors it is a Z N cyclic permutation of the vector's components [63,65].…”

“…See[63] for a discussion of the large-N limit,[64] for the study of bound states of dual photons, the 3d remnant of 4d glueballs[65] bound by doubly-exponential nonperturbative effects.…”

Baryogenesis from B meson oscillations

“…A minimal model to capture this physics was studied in detail-that model contained three neutral Majorana fermions ('neutralinos') and a color triplet scalar ('squark'). The same model, in a different parameter region with lighter neutralinos, was shown to lead to baryogenesis via potentially observable baryon and CP violating neutral heavy flavor baryon oscillations [3,5]. A similar model, in which baryon number is conserved but also carried by dark matter, was shown to be capable of producing both the visible matter-anti-matter asymmetry and asymmetric dark matter [6] via B-meson decays.…”

“…Our model is similar to the one used in ref. [5] to produce the baryon asymmetry through oscillations of baryons [3,4], although even simpler. It is worth noting that even though we use a similar model, the parameter space is different and we are less constrained from dinucleon decay.…”