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The most well-known mechanism for fermions to acquire a mass is the Nambu-Goldstone-Anderson-Higgs mechanism, i.e. after a spontaneous symmetry breaking, a bosonic field that couples to the fermion mass term condenses, which grants a mass…

强关联电子 · 物理学 2022-11-18 Juven Wang , Yi-Zhuang You

We consider a field theoretical model where a SU(2) fermion doublet, subjected to non-Abelian gauge interactions, is also coupled to a complex scalar field doublet via a Yukawa and an irrelevant Wilson-like term. Despite the presence of…

We present the investigation of the strong bare-coupling regime of SU(2) lattice gauge theory with 8 fermion flavors in the fundamental representation. The simulations are performed with unimproved staggered fermions and the plaquette gauge…

高能物理 - 格点 · 物理学 2014-12-18 Cynthia Y. -H. Huang , C. -J. David Lin , Kenji Ogawa , Hiroshi Ohki , Enrico Rinaldi

We report the results of an extensive numerical study of the $Sp(4)$ lattice gauge theory with three (Dirac) flavors of fermion in the two-index antisymmetric representation. In the presence of (degenerate) fermion masses, the theory has an…

高能物理 - 格点 · 物理学 2025-03-05 Ed Bennett , Deog Ki Hong , Ho Hsiao , Jong-Wan Lee , C. -J. David Lin , Biagio Lucini , Maurizio Piai , Davide Vadacchino

A spontaneously broken SU(2)xU(1) gauge theory with just one "primordial" generation of fermions is formulated in the context of generally covariant theory which contains two measures of integration in the action: the standard…

高能物理 - 理论 · 物理学 2014-11-18 E. I. Guendelman , A. B. Kaganovich

Within the symmetric mass generation (SMG) approach to the construction of lattice chiral gauge theories, one attempts to use interactions to render mirror fermions massive without symmetry breaking, thus obtaining the desired chiral…

高能物理 - 格点 · 物理学 2026-01-13 Maarten Golterman , Yigal Shamir

The fermion and meson sectors of the quark-level SU(2) linear sigma model are dynamically generated from a meson-quark Lagrangian, with the quark (q) and meson ($\sigma,\pi$) fields all treated as elementary, having neither bare masses nor…

高能物理 - 唯象学 · 物理学 2008-11-26 R Delbourgo , M D Scadron

We investigate an extension of the Standard Model (SM) incorporating a gauge $ U(1) $ horizontal symmetry that is free of anomalies. This extension introduces four additional un-Higgsed scalar doublets that do not develop vacuum expectation…

高能物理 - 唯象学 · 物理学 2024-08-06 We-Fu Chang

We simulate $ SU(2) $ lattice gauge theory using dynamical reduced staggered fermions. The latter lead to two rather than four Dirac fermions in the continuum limit. We review the derivation and properties of reduced staggered fermions and…

高能物理 - 格点 · 物理学 2019-01-23 Simon Catterall , Nouman Butt

We introduce a strongly interacting lattice field theory model containing two flavors of massless staggered fermions with two kinds of interactions: (1) a lattice current-current interaction, and (2) an on-site four-fermion interaction. At…

高能物理 - 格点 · 物理学 2021-12-01 Sandip Maiti , Debasish Banerjee , Shailesh Chandrasekharan , Marina Krstic Marinkovic

We investigate the phase structure of a four dimensional SO(4) invariant lattice Higgs-Yukawa model comprising four reduced staggered fermions interacting with a real scalar field. The fermions belong to the fundamental representation of…

高能物理 - 格点 · 物理学 2020-02-04 Simon Catterall , Nouman Butt , David Schaich

An SU(2) gauge theory with two fermions transforming under the adjoint representation of the gauge group may appear conformal or almost conformal in the infrared. We use lattice simulations to study the spectrum of this theory and present…

高能物理 - 格点 · 物理学 2009-05-12 Ari J. Hietanen , Jarno Rantaharju , Kari Rummukainen , Kimmo Tuominen

We study a possible gauge symmetry breaking pattern in an ${\rm SU}(7)$ grand unified theory, which describes the mass origins of all electrically charged SM fermions of the second and the third generations. Two intermediate gauge…

高能物理 - 唯象学 · 物理学 2023-04-26 Ning Chen , Ying-nan Mao , Zhaolong Teng , Bin Wang , Xiangjun Zhao

The effective potential for the Wilson loop in the SU(2) gauge theory with N_f massive fundamental and N_a massive adjoint fermions on S^1 x M^4 is computed at the one-loop level, assuming periodic boundary conditions for the gauge field…

高能物理 - 唯象学 · 物理学 2009-11-10 Muge Boz , Namik K. Pak

We identify the global symmetries of SU(2) lattice gauge theory with N flavors of staggered fermion in the presence of a quark chemical potential mu, for fermions in both fundamental and adjoint representations, and anticipate likely…

高能物理 - 格点 · 物理学 2009-01-07 S. Hands , I. Montvay , S. Morrison , M. Oevers , L. Scorzato , J. Skullerud

We explore the phase structure of a four dimensional $SO(4)$ invariant lattice Higgs-Yukawa model comprising four reduced staggered fermions interacting with a real scalar field. The fermions belong to the fundamental representation of the…

高能物理 - 格点 · 物理学 2019-01-02 Nouman Butt , Simon Catterall , David Schaich

We explore aspects of the phase structure of SU(2) and SU(3) lattice gauge theories at strong coupling with many flavours $N_f$ of Wilson fermions in the fundamental representation, including the relevance to recent searches for a conformal…

高能物理 - 格点 · 物理学 2010-11-04 Kei-ichi Nagai , Maria Georgina Carrillo-Ruiz , Gergana Koleva , Randy Lewis

The gauge symmetry of the Standard Model is SU(3)_c x SU(2)_L x U(1)_Y for unknown reasons. One aspect that can be addressed is the low dimensionality of all its subgroups. Why not much larger groups like SU(7), or for that matter, SP(38)…

高能物理 - 唯象学 · 物理学 2016-12-30 Guillermo Garcia Fernandez , Jesus Guerrero Rojas , Felipe J. Llanes-Estrada

We are studying the $SU(3)$ gauge theory with 12 staggered fermions, searching for the endpoint of the line of first-order phase transitions in the mass--beta plane. This endpoint plays an important role in our understanding of the phase…

高能物理 - 格点 · 物理学 2016-11-16 Zechariah Gelzer , Yuzhi Liu , Yannick Meurice

The reasons behind the gauge symmetry of the Standard Model, U(1)xSU(2)xSU(3), are still unsettled. One obvious feature is the low dimensionality of all its subgroups. Under certain conditions, a negative answer to the question "why not…

高能物理 - 唯象学 · 物理学 2017-09-25 Felipe J. Llanes-Estrada , Guillermo Garcia Fernandez , Jesus Guerrero Rojas