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Conformal fields in flat space-time of even dimension greater than or equal to four are studied. Second-derivative formulation for spin 0,1,2 conformal bosonic fields and first-derivative formulation for spin 1/2,3/2 conformal fermionic…

High Energy Physics - Theory · Physics 2015-05-13 R. R. Metsaev

A geometric approach to the standard model in terms of the Clifford algebra Cl_7 is advanced. A key feature of the model is its use of an algebraic spinor for one generation of leptons and quarks. Spinor transformations separate into…

High Energy Physics - Theory · Physics 2008-11-26 Greg Trayling , W. E. Baylis

Using the complex Klein-Gordon field as a model, we quantize the quaternionic scalar field in the real Hilbert space. The lagrangian formulation has accordingly been obtained, as well as the hamiltonian formulation, and the energy and…

Quantum Physics · Physics 2022-07-13 Sergio Giardino

We consider the Hamiltonian and Lagrangian embedding of a first-order, massive spin-one, gauge non-invariant theory involving anti-symmetric tensor field. We apply the BFV-BRST generalised canonical approach to convert the model to a first…

High Energy Physics - Theory · Physics 2009-11-07 E. Harikumar , M. Sivakumar

We proceed to derive equations for the symmetric tensor of the second rank on the basis of the Bargmann-Wigner formalism in a straightforward way. The symmetric multispinor of the fourth rank is used. It is constructed out of the Dirac…

Mathematical Physics · Physics 2007-05-23 Valeri V. Dvoeglazov

The idea of gauging (i.e. making local) symmetries of a physical system is a central feature of many modern field theories. Usually, one starts with a Lagrangian for some scalar or spinor matter fields, with the Lagrangian being invariant…

High Energy Physics - Theory · Physics 2007-05-23 Akira Kato , Doug Singleton

The standard $SU(2) \times U(1)$ fields are considered in 4D plus one extra compact dimension. As a result two basic effects are obtained. First, four Goldstone-like scalars are produced, three of them are used to create longitudinal modes…

High Energy Physics - Phenomenology · Physics 2016-03-28 Yu. A. Simonov

We examine a dual theory of a Supersymmetric Standard Model(SSM) in terms of an $SU(3)_C$ gauge group. In this scenario, it is naturally understood that at least one quark (the top quark) should be heavy, i.e., almost the same order as the…

High Energy Physics - Phenomenology · Physics 2011-01-13 Nobuhiro Maekawa

We investigate some issues on renormalisability of non-anticommutative supersymmetric gauge theory related to field redefinitions. We study one loop corrections to $N=\frac{1}{2}$ supersymmetric $SU(N)\times U(1)$ gauge theory coupled to…

High Energy Physics - Theory · Physics 2015-05-20 A. F. Kord , M. Haddadi Moghaddam , N. Ghasempour

A set of linear second-order differential equations is converted into a semigroup, whose algebraic structure is used to generate many novel equations. Two independent methods that can be used to derive the equations of the semigroup are…

Mathematical Physics · Physics 2020-07-22 Zdzislaw Musielak , Niyousha Davachi , Marialis Rosario-Franco

A model of spontaneous Lorentz violation in four dimension is given, which seems to provide a Lorentz invariant effective theory. An SU(2) Yang-Mills gauge field and an auxiliary U(1) vector field generate gravity and other interactions…

General Physics · Physics 2021-03-31 Kimihide Nishimura

Composite Higgs models are a class of models proposed to address the hierarchy and naturalness problems associated with the Standard Model fundamental scalar Higgs. $SU(2)$ with two fundamental flavours is a minimal model for the composite…

High Energy Physics - Lattice · Physics 2024-01-02 Laurence Sebastian Bowes , Vincent Drach , Patrick Fritzsch , Antonio Rago , Fernando Romero-Lopez

We continue the construction of a Lagrangian description of irreducible half-integer higher-spin representations of the Poincare group with an arbitrary Young tableaux having $k$ rows, on a basis of the BRST--BFV approach suggested for…

High Energy Physics - Theory · Physics 2025-02-18 Alexander A. Reshetnyak

We follow the example of Cabibbo by revising the Standard Model (SM) to present a universal mass structure for fermions. A universal Higgs coupling for each species of fundamental fermions moves the SM towards a Theory of Matter, albeit…

High Energy Physics - Phenomenology · Physics 2019-04-05 T. Goldman , G. J. Stephenson,

Introducing, in the underlying gauge theory of the Standard Model, the frame vectors in internal space as field variables (framons), in addition to the usual gauge boson and matter fermions fields, one obtains: * the standard Higgs scalar…

High Energy Physics - Phenomenology · Physics 2015-05-21 HM Chan , ST Tsou

A right-right-left extension of the standard model is proposed. In this model, the standard model gauge group $SU(2)_L \otimes U(1)_Y $ is extended to $SU(2)_L \otimes SU(2)_R \otimes SU(2)^{\prime}_R \otimes SU(2)^{\prime}_L \otimes…

High Energy Physics - Phenomenology · Physics 2016-06-28 Gauhar Abbas

The usual prescription for constructing gauge-invariant Lagrangian is generalized to the case where a Lagrangian contains second derivatives of fields as well as first derivatives. Symmetric tensor fields in addition to the usual vector…

High Energy Physics - Theory · Physics 2017-02-01 Shinji HAMAMOTO

Working to lowest non-trivial order in fermions, we consider the four-derivative order corrected Lagrangian and supersymmetry transformations of the Euclidean Bagger-Lambert-Gustavsson theory. By demonstrating supersymmetric invariance of…

High Energy Physics - Theory · Physics 2015-06-05 Paul Richmond

We show that any theory with second class constraints may be cast into a gauge theory if one makes use of solutions of the constraints expressed in terms of the coordinates of the original phase space. We perform a Lagrangian path integral…

High Energy Physics - Theory · Physics 2009-11-07 Igor Batalin , Robert Marnelius

In this article we present bosonic T-dualization in double space of the type II superstring theory in pure spinor formulation. We use the action with constant background fields obtained from the general case under some physically and…

High Energy Physics - Theory · Physics 2019-10-08 B. Nikolić , B. Sazdović