Lattice simulations with eight flavors of domain wall fermions in SU(3) gauge theory

Abstract

textlessptextgreaterWe study an SU(3) gauge theory with textlessinline-formulatextgreatertextlessmml:math display=“inline"textgreatertextlessmml:msubtextgreatertextlessmml:mitextgreaterNtextless/mml:mitextgreatertextlessmml:mitextgreaterftextless/mml:mitextgreatertextless/mml:msubtextgreatertextlessmml:motextgreater=textless/mml:motextgreatertextlessmml:mntextgreater8textless/mml:mntextgreatertextless/mml:mathtextgreatertextless/inline-formulatextgreater degenerate flavors of light fermions in the fundamental representation. Using the domain wall fermion formulation, we investigate the light hadron spectrum, chiral condensate textlessinline-formulatextgreatertextlessmml:math display=“inline"textgreatertextlessmml:mrowtextgreatertextlessmml:mo stretchy=“false"textgreater⟨textless/mml:motextgreatertextlessmml:mover accent=“true"textgreatertextlessmml:mrowtextgreatertextlessmml:mitextgreaterψtextless/mml:mitextgreatertextless/mml:mrowtextgreatertextlessmml:mrowtextgreatertextlessmml:mo accent=“true” stretchy=“false"textgreater¯textless/mml:motextgreatertextless/mml:mrowtextgreatertextless/mml:movertextgreatertextlessmml:mitextgreaterψtextless/mml:mitextgreatertextlessmml:mo stretchy=“false"textgreater⟩textless/mml:motextgreatertextless/mml:mrowtextgreatertextless/mml:mathtextgreatertextless/inline-formulatextgreater and electroweak textlessinline-formulatextgreatertextlessmml:math display=“inline"textgreatertextlessmml:mitextgreaterStextless/mml:mitextgreatertextless/mml:mathtextgreatertextless/inline-formulatextgreater parameter. We consider a range of light fermion masses on two lattice volumes at a single gauge coupling chosen so that IR scales approximately match those from our previous studies of the two- and six-flavor systems. Our results for the textlessinline-formulatextgreatertextlessmml:math display=“inline"textgreatertextlessmml:msubtextgreatertextlessmml:mitextgreaterNtextless/mml:mitextgreatertextlessmml:mitextgreaterftextless/mml:mitextgreatertextless/mml:msubtextgreatertextlessmml:motextgreater=textless/mml:motextgreatertextlessmml:mntextgreater8textless/mml:mntextgreatertextless/mml:mathtextgreatertextless/inline-formulatextgreater spectrum suggest spontaneous chiral symmetry breaking, though fits to the fermion mass dependence of spectral quantities do not strongly disfavor the hypothesis of mass-deformed infrared conformality. Compared to textlessinline-formulatextgreatertextlessmml:math display=“inline"textgreatertextlessmml:msubtextgreatertextlessmml:mitextgreaterNtextless/mml:mitextgreatertextlessmml:mitextgreaterftextless/mml:mitextgreatertextless/mml:msubtextgreatertextlessmml:motextgreater=textless/mml:motextgreatertextlessmml:mntextgreater2textless/mml:mntextgreatertextless/mml:mathtextgreatertextless/inline-formulatextgreater we observe a significant enhancement of textlessinline-formulatextgreatertextlessmml:math display=“inline"textgreatertextlessmml:mo stretchy=“false"textgreater⟨textless/mml:motextgreatertextlessmml:mrowtextgreatertextlessmml:mover accent=“true"textgreatertextlessmml:mitextgreaterψtextless/mml:mitextgreatertextlessmml:mo accent=“true” stretchy=“false"textgreater¯textless/mml:motextgreatertextless/mml:movertextgreatertextlessmml:mitextgreaterψtextless/mml:mitextgreatertextless/mml:mrowtextgreatertextlessmml:mo stretchy=“false"textgreater⟩textless/mml:motextgreatertextless/mml:mathtextgreatertextless/inline-formulatextgreater relative to the symmetry breaking scale textlessinline-formulatextgreatertextlessmml:math display=“inline"textgreatertextlessmml:mitextgreaterFtextless/mml:mitextgreatertextless/mml:mathtextgreatertextless/inline-formulatextgreater, similar to the situation for textlessinline-formulatextgreatertextlessmml:math display=“inline"textgreatertextlessmml:msubtextgreatertextlessmml:mitextgreaterNtextless/mml:mitextgreatertextlessmml:mitextgreaterftextless/mml:mitextgreatertextless/mml:msubtextgreatertextlessmml:motextgreater=textless/mml:motextgreatertextlessmml:mntextgreater6textless/mml:mntextgreatertextless/mml:mathtextgreatertextless/inline-formulatextgreater. The reduction of the textlessinline-formulatextgreatertextlessmml:math display=“inline"textgreatertextlessmml:mitextgreaterStextless/mml:mitextgreatertextless/mml:mathtextgreatertextless/inline-formulatextgreater parameter, related to parity doubling in the vector and axial-vector channels, is also comparable to our six-flavor results.textless/ptextgreater

Publication
Phys.Rev.

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