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*SU*(3) gauge theory with sextet *fermions*

"... SU(3) gauge theory coupled to N f = 2 fermions in the sextet representation is a promising candi-date for a technicolor inspired Standard Model extension. In this note the progress in the past few years aimed at understanding the non-perturbative properties of the model is reviewed. The main difficu ..."

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*SU*(3) gauge theory coupled to N f = 2

*fermions*in the sextet representation is a promising candi-date for a technicolor inspired Standard Model extension. In this note the progress in the past few years aimed at understanding the non-perturbative properties of the model is reviewed. The main

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Higher representations on the lattice: numerical simulations. *SU*(2) with adjoint *fermions*

, 2008

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Semi-*fermionic* representation of *SU*(N) Hamiltonians

, 2001

"... Abstract. We represent the generators of the SU(N) algebra as bilinear combinations of Fermi operators with imaginary chemical potential. The distribution function, consisting of a minimal set of discrete imag-inary chemical potentials, is introduced to satisfy the local constraints. This representa ..."

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functions for auxiliary semi-

*fermionic*elds. We discuss the continuous large N and*SU*(2) large spin limits. We illustrate the application of this technique for magnetic and spin-liquid states of the Heisenberg model. PACS. 75.10.-b General theory and models of magnetic ordering { 75.10.Jm Quantized spin###
Real and Imaginary Elements of *Fermion* Mass Matrices

, 2006

"... Prompted by the recent better determination of the angles of the unitarity triangle, we re-appraise the problem of finding simple fermion mass textures, possibly linked to some symmetry principle and compatible with grand unification. In particular, the indication that the angle α is close to rectan ..."

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Prompted by the recent better determination of the angles of the unitarity triangle, we re-appraise the problem of finding simple

*fermion*mass textures, possibly linked to some symmetry principle and compatible with grand unification. In particular, the indication that the angle α is*close*###
Chiral properties of *SU*(3) sextet *fermions*

, 908

"... SU(3) gauge theory with overlap fermions in the 2-index symmetric (sextet) and fundamental representations is considered. A priori it is not known what the pattern of chiral symmetry breaking is in a higher dimensional representation although the general expectation is that if two representations ar ..."

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*SU*(3) gauge theory with overlap

*fermions*in the 2-index symmetric (sextet) and fundamental representations is considered. A priori it is not known what the pattern of chiral symmetry breaking is in a higher dimensional representation although the general expectation is that if two representations

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Left-Ideals, Dirac *fermions* and *SU*(2)-Flavour

, 2007

"... In this paper I reconsider the use of the left ideals of the evengrade subalgebra of spacetime algebra to describe fermionic excitations. When interpreted as rotors the general elements of an evengrade left-ideal describe massless particles in chiral flavour doublets. To study the application of the ..."

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In this paper I reconsider the use of the left ideals of the evengrade subalgebra of spacetime algebra to describe

*fermionic*excitations. When interpreted as rotors the general elements of an evengrade left-ideal describe massless particles in chiral flavour doublets. To study the application###
*Fermion* Mixings in *SU*(9) Family Unification

, 904

"... In an SU(9) model of gauged family unification, we propose an explanation for why angles observed in the lepton flavor (PMNS) mixing matrix are significantly larger than those measured for any analagous quark flavor (KM) mixing angle. It is directly related to a see-saw mechanism that we assume to b ..."

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In an

*SU*(9) model of gauged family unification, we propose an explanation for why angles observed in the lepton flavor (PMNS) mixing matrix are significantly larger than those measured for any analagous quark flavor (KM) mixing angle. It is directly related to a see-saw mechanism that we assume###
Adjoint *fermion* zero-modes for *SU*(N) calorons

, 905

"... Abstract: We derive analytic formulas for the zero-modes of the Dirac equation in the adjoint representation in the background field of Q = 1 SU(N) calorons. Solutions with various boundary conditions are obtained, including the physically most relevant cases of periodic and anti-periodic ones. The ..."

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Abstract: We derive analytic formulas for the zero-modes of the Dirac equation in the adjoint representation in the background field of Q = 1

*SU*(N) calorons. Solutions with various boundary conditions are obtained, including the physically most relevant cases of periodic and anti-periodic ones###
Semi-*fermionic* representation of *SU*(N) Hamiltonians

, 2008

"... Abstract. We represent the generators of the SU(N) algebra as bilinear combinations of Fermi operators with imaginary chemical potential. The distribution function, consisting of a minimal set of discrete imaginary chemical potentials, is introduced to satisfy the local constraints. This representat ..."

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Abstract. We represent the generators of the

*SU*(N) algebra as bilinear combinations of Fermi operators with imaginary chemical potential. The distribution function, consisting of a minimal set of discrete imaginary chemical potentials, is introduced to satisfy the local constraints