Linear sigma model for multiflavor gauge theories
- Univ. of Iowa, Iowa City, IA (United States). Dept. of Physics and Astronomy
We consider a linear sigma model describing $$2N_f^2$$ bosons ($$\sigma$$, a0, $$\eta$$' and π) as an approximate effective theory for a $SU(3)$ local gauge theory with $$N_f$$ Dirac fermions in the fundamental representation. The model has a renormalizable U(Nf)L Ⓧ invariant part, which has an approximate $$O(2N_f^2)$$ symmetry, and two additional terms, one describing the effects of a $$SU(N_f)_V$$ invariant mass term and the other the effects of the axial anomaly. We calculate the spectrum for arbitrary $$N_f$$. Using preliminary and published lattice results from the LatKMI collaboration, we found combinations of the masses that vary slowly with the explicit chiral symmetry breaking and $$N_f$$. This suggests that the anomaly term plays a leading role in the mass spectrum and that simple formulas such as $$M_\sigma^2\simeq (2/N_f-C_\sigma)M_{\eta'}^2$$ should apply in the chiral limit. Lattice measurements of $$M_{\eta'}^2$$ and of approximate constants such as $$C_\sigma$$ could help locating the boundary of the conformal window. Here, we show that our calculation can be adapted for arbitrary representations of the gauge group and in particular to the minimal model with two sextets, where similar patterns are likely to apply.
- Research Organization:
- Univ. of Iowa, Iowa City, IA (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF)
- Grant/Contract Number:
- SC0010113; PHY11-25915
- OSTI ID:
- 1660400
- Alternate ID(s):
- OSTI ID: 1412945
- Journal Information:
- Physical Review. D., Vol. 96, Issue 11; ISSN 2470-0010
- Publisher:
- American Physical Society (APS)Copyright Statement
- Country of Publication:
- United States
- Language:
- English
Web of Science
Lattice gauge theory for physics beyond the Standard Model
|
journal | November 2019 |
Nonperturbative investigations of SU(3) gauge theory with eight dynamical flavors
|
text | January 2019 |
| Lattice Gauge Theory for Physics Beyond the Standard Model | text | January 2019 |
| Phase transitions in neutron stars and their links to gravitational waves | text | January 2019 |
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