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The description of states and dynamics in non-Hermitian systems is fundamentally linked to the choice of an appropriate theoretical framework -- a point of ongoing debate in the field. This work addresses this issue by proposing a…

Quantum Physics · Physics 2026-05-07 Fei Wang , Guoying Liang , Zecheng Zhao , Bao-Ming Xu

The Higgs phenomenon occurs in theories of gravity in which the connection is an independent dynamical variable. The role of order parameters is played by the soldering form and a fiber metric. The breaking of the original gauge symmetry is…

High Energy Physics - Theory · Physics 2009-11-13 R. Percacci

The electroweak model is formulated on the nonlinearly realized gauge group SU(2) X U(1). This implies that in perturbation theory no Higgs field is present. The paper provides the effective action at the tree level, the Slavnov Taylor…

High Energy Physics - Phenomenology · Physics 2010-11-22 Daniele Bettinelli , Ruggero Ferrari , Andrea Quadri

We devise a unitary transformation that replaces the fermionic degrees of freedom of lattice gauge theories by (hard-core) bosonic ones. The resulting theory is local and gauge invariant, with the same symmetry group. The method works in…

Quantum Physics · Physics 2018-08-17 Erez Zohar , J. Ignacio Cirac

Most modern theoretical considerations of the physical world suggest that nature is: (1) field-theoretic, (2) smooth, (3) local, (4) gauged, (5) containing fermions, and (6) non-perturbative. Tautologous as this may sound to experts, it is…

Mathematical Physics · Physics 2025-07-08 Grigorios Giotopoulos , Hisham Sati

A novel model embedding the two Higgs doublets in the popular two Higgs doublet models into a doublet of a non-abelian gauge group $SU(2)_H$ is presented. The Standard Model $SU(2)_L$ right-handed fermion singlets are paired up with new…

High Energy Physics - Phenomenology · Physics 2016-05-04 Wei-Chih Huang , Yue-Lin Sming Tsai , Tzu-Chiang Yuan

Some mathematical aspects of using the translation group as an internal symmetry group in a gauge field theory are presented and discussed. The traditional manner in which gravitation can be accounted for by the introduction of a global…

General Relativity and Quantum Cosmology · Physics 2007-05-23 David Delphenich

The paper formulates a standard model in the Foldy-Wouthuysen representation using previously developed approaches as applied to quantum electrodynamics. The formulation of the theory in the FW representation does not require obligatory…

High Energy Physics - Theory · Physics 2007-05-23 V. P. Neznamov

We consider a quark-lepton symmetry model of unification of the strong and electromagnetic interactions. The model has the gauge group $SU(4)\times U(1)_{Y}$ and the minimal Higgs structure consisting of one complex quartet of scalar…

High Energy Physics - Phenomenology · Physics 2009-04-09 E. K. Loginov

A new supersymmetric standard model based on N=1 supergravity is constructed, aiming at natural explanation for the proton stability without invoking an ad hoc discrete symmetry through R parity. The proton is protected from decay by an…

High Energy Physics - Phenomenology · Physics 2009-10-31 Mayumi Aoki , Noriyuki Oshimo

A General Theory of the Standard Model (GSM) is built in a spin-related gravigauge spacetime, based on the conformal inhomogeneous spin gauge symmetry WS$_c$(1,3)=SP(1,3)$\rtimes$W$^{1,3}$$\rtimes$SP$_c$(1,1) and the scaling gauge symmetry…

General Physics · Physics 2025-06-11 Yue-Liang Wu

Quantum simulations of many-body systems offer novel methods for probing the dynamics of the Standard Model and its constituent gauge theories. Extracting low-energy predictions from such simulations rely on formulating…

Quantum Physics · Physics 2025-12-30 Henry Froland , Dorota M. Grabowska , Zhiyao Li

We propose the $SU(3)_C\times SU(3)_L\times U(1)_X$ model arising from $SU(6)$ breaking. One family of the Standard Model (SM) fermions arises from two $\bar{6}$ representations and one $15$ representation of $SU(6)$ gauge symmetry. To…

High Energy Physics - Phenomenology · Physics 2020-11-23 Tianjun Li , Junle Pei , Fangzhou Xu , Wenxing Zhang

After discovery of the Higgs boson at CERN the Standard Model acquired a status of the theory of the elementary particles in the electroweak range (up to about 300 GeV). What general conclusions can be inferred from the Standard Model? It…

High Energy Physics - Phenomenology · Physics 2015-01-05 S. M. Bilenky

We make a change of variable in the standard model Higgs field by a fermion operator and show that the latter is responsible for the electroweak vacuum. By computing the vacuum expectation value of this fermion operator in the path integral…

High Energy Physics - Phenomenology · Physics 2016-11-14 Renata Jora

We analyze all the possible continuous horizontal gauge groups G_H in relation with their possibility to explain m_b<<m_t. We assume that the only effective fermionic degrees of freedom correspond to the known fermions but allow the…

High Energy Physics - Phenomenology · Physics 2009-09-25 William A. Ponce , Luis A. Wills , Arnulfo Zepeda

Models with extra dimensions may give new effects visible at future experiments. In these models, bulk fields can develop localized corrections to their kinetic terms which can modify the phenomenological predictions in a sizeable way. We…

High Energy Physics - Phenomenology · Physics 2007-05-23 F. del Aguila , M. Perez-Victoria , J. Santiago

We study UV complete theories where the Standard Model (SM) gauge group is extended with a new abelian $U(1)$, and the field content is augmented by an arbitrary number of scalar and fermion SM singlets, potentially including dark matter…

High Energy Physics - Phenomenology · Physics 2017-11-29 Yanou Cui , Francesco D'Eramo

From the quantum field theory point of view, matter and gauge fields are generally expected to be localised around branes or topological defects occurring in extra dimensions. Here I discuss a simple scenario where, by starting with a five…

High Energy Physics - Theory · Physics 2007-05-23 Gonzalo A. Palma

We consider a gauge model based on $SU(3)\otimes U(1)$ symmetry in which the lepton number is violated explicitly by charged scalar and gauge bosons, including a vector field with double electric charge. Although there exist in the…

High Energy Physics - Phenomenology · Physics 2009-07-28 F. Pisano , V. Pleitez