Vector-like symmetries and parity conservation in gauge theories with Yukawa couplings

Autor:	Valenti, Alessandro, Vecchi, Luca
Rok vydání:	2023
Předmět:	High Energy Physics - Phenomenology High Energy Physics - Lattice High Energy Physics - Theory
Druh dokumentu:	Working Paper
Popis:	Non-perturbative results in QCD-like theories can be derived employing positivity of the Euclidean path integral measure, as pioneered by Weingarten, Vafa, Witten. We show that positivity of the measure can be generalized to parity-invariant theories with Yukawa couplings to fundamental scalars, provided the fermions are Dirac and carry a real representation of the gauge group. This result allows us to demonstrate the conservation of parity and vector-like flavor symmetries in such theories, as well as to derive exact inequalities among hadrons' masses. Comment: 22 pages plus Appendix. V2: Details added to Section 2. Major changes in Section 3. Conclusions unchanged
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2306.13088 Zobrazit plný text záznamu View this record from Arxiv