scholarly journals Pseudoscalar glueballs in the Klebanov-Strassler theory

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Dmitry Melnikov ◽  
Cornélio Rodrigues Filho
Keyword(s):  
Numerical Analysis ◽  
Symmetry Group ◽  
Global Symmetry ◽  
System Of Equations ◽  
Global Symmetry Group ◽  
Lattice Calculations ◽  
The Masses ◽  
Holographic Reconstruction

Abstract In this paper we describe a pseudoscalar subsector of the Klebanov-Strassler model. This subsector completes the holographic reconstruction of the spectrum of the lowest-lying glueball states, which are singlet under the global symmetry group SU(2) × SU(2). We derive the linearized supergravity equations for the pseudoscalar fluctuations and analyze their spectrum. The system of equations is shown to be compatible with six eigenmodes, as expected from supersymmetry. Our numerical analysis allows to reliably extract four of the corresponding towers. Their values match well the eigenvalues of the 0++ scalar states known from an earlier work. Assuming the masses of 0++ as a reference, we compare the lightest states of the holographic spectrum with lattice calculations in the quenched QCD at Nc = 3 and Nc = ∞.

scholarly journals A Bosonisation of QCD and Realisations of Chiral Symmetry

1987 ◽  
Vol 40 (4) ◽  
pp. 499 ◽  
Author(s):  
CD Roberts ◽  
RT Cahill
Keyword(s):  
Symmetry Group ◽  
Chiral Symmetry ◽  
Functional Integral ◽  
Vacuum Field ◽  
Global Symmetry ◽  
Field Representation ◽  
Generating Functional ◽  
Global Symmetry Group ◽  
Vacuum Field Equation ◽  
Alternative Solutions

We employ the functional integral formalism to study quantum chromodynamics (QCD) with Nf quarks of zero bare mass. In addition to local SU(Nc) colour symmetry, this theory possesses exact global G = UdNf)@UR(Nf) chiral symmetry. We obtain an exact bilocal Bose field representation of the generating functional which, as we prove after establishing the manner in which the bilocal fields transform under G, preserves the global chiral symmetry. We demonstrate how a local Bose field representation of the generating functional may be obtained from the bilocal bosonisation. This provides a direct link between QCD and low energy meson phenomenological models. We utilise the bilocal bosonisation in the study of the dynamical breakdown of the global chiral symmetry group G. We derive the vacuum field equation from the exact bilocal Bose field effective action and discuss two alternative solutions: one corresponding to a Wigner-Weyl realisation of the global symmetry group G in which the vacuum configuration is invariant under G; the other to a mixed realisation in which the vacuum manifold is the coset space G/H = U A(Nf ), where H = Uv(Nf ) is a subgroup of G.

scholarly journals Models of hypercolor based on symplectic gauge group with three heavy vectorlike hyperquarks

2019 ◽  
Vol 28 (13) ◽  
pp. 1941002 ◽  
Author(s):  
Nikolay Volchanskiy ◽  
Vladimir Kuksa ◽  
Vitaly Beylin
Keyword(s):  
Higgs Boson ◽  
Standard Model ◽  
Symmetry Group ◽  
Gauge Group ◽  
Global Symmetry ◽  
Composite Higgs ◽  
Global Symmetry Group ◽  
The Standard Model ◽  
Dynamical Breaking ◽  
Partially Composite

We study possibilities to extend the Standard Model (SM) by three flavors of vectorlike heavy quarks in pseudoreal representation of symplectic hypercolor gauge group. This extension of SM predicts a rich spectra of heavy composite hypermesons and hyperbaryons (all of them carry integer spins) including 14 pseudo-Nambu–Goldstone states emerging in dynamical breaking of the global symmetry group of the H-quarks, [Formula: see text], to its Sp(6) subgroup. The properties of the lightest states depend strongly on the choice of heavy-quark hypercharges. Our focus is placed on the variants of the model with partially composite Higgs boson, i.e. the experimentally observed boson comprised the elementary SM Higgs and a mixture of H-hadrons.

Local and global color symmetries of a symmetrical pattern

2019 ◽  
Vol 75 (5) ◽  
pp. 730-745
Author(s):  
Agatha Kristel Abila ◽  
Ma. Louise Antonette De Las Peñas ◽  
Eduard Taganap
Keyword(s):  
Symmetry Group ◽  
Local Symmetry ◽  
Global Symmetry ◽  
Color Symmetry ◽  
Usual Approach ◽  
Symmetrical Pattern ◽  
Symmetry Theory ◽  
Global Symmetry Group ◽  
Local Symmetries ◽  
Global And Local

This study addresses the problem of arriving at transitive perfect colorings of a symmetrical pattern {\cal P} consisting of disjoint congruent symmetric motifs. The pattern {\cal P} has local symmetries that are not necessarily contained in its global symmetry group G. The usual approach in color symmetry theory is to arrive at perfect colorings of {\cal P} ignoring local symmetries and considering only elements of G. A framework is presented to systematically arrive at what Roth [Geom. Dedicata (1984), 17, 99–108] defined as a coordinated coloring of {\cal P}, a coloring that is perfect and transitive under G, satisfying the condition that the coloring of a given motif is also perfect and transitive under its symmetry group. Moreover, in the coloring of {\cal P}, the symmetry of {\cal P} that is both a global and local symmetry, effects the same permutation of the colors used to color {\cal P} and the corresponding motif, respectively.

A SCHEME FOR COMPLEMENTARITY AND HIGGS PHASE ANALYSES

1990 ◽  
Vol 05 (08) ◽  
pp. 531-542
Author(s):  
GONGRU LU ◽  
BING-LIN YOUNG ◽  
XINMIN ZHANG
Keyword(s):  
Simple Group ◽  
Symmetry Group ◽  
Phase Analysis ◽  
Dynamical Symmetry ◽  
Low Energy ◽  
Simple Groups ◽  
Global Symmetry ◽  
Global Symmetry Group ◽  
Composite Models ◽  
Dynamical Scheme

We introduce a simple dynamical scheme to supplement the complementarity and Higgs phase analyses of composite models with semi-simple metacolor groups. The critical couplings which signal the dynamical breakdown of the various simple groups contained in the metacolor semi-simple group determine the order of appearance of the condensates of the simple groups. Together with the Higgs phase analysis, it helps to determine the global symmetry of the fermion composite. The global symmetry group will eventually be gauged to form the low energy dynamical symmetry group of the composite.

scholarly journals Rank $Q$ E-string on spheres with flux

2021 ◽  
Vol 11 (2) ◽  
Author(s):  
Chiung Hwang ◽  
Shlomo Razamat ◽  
Evyatar Sabag ◽  
Matteo Sacchi
Keyword(s):  
Gauge Theory ◽  
Symmetry Group ◽  
Weyl Group ◽  
Global Symmetry ◽  
Dimensional Theory ◽  
Genus Zero ◽  
Four Dimensions ◽  
Global Symmetry Group ◽  
Cap Model ◽  
Zumino Model

We consider compactifications of rank \boldsymbol{Q}𝐐 E-string theory on a genus zero surface with no punctures but with flux for various subgroups of the \boldsymbol{\mathrm{E}_8\times \mathrm{SU}(2)}E8×SU(2) global symmetry group of the six dimensional theory. We first construct a simple Wess–Zumino model in four dimensions corresponding to the compactification on a sphere with one puncture and a particular value of flux, the cap model. Using this theory and theories corresponding to two punctured spheres with flux, one can obtain a large number of models corresponding to spheres with a variety of fluxes. These models exhibit interesting IR enhancements of global symmetry as well as duality properties. As an example we will show that constructing sphere models associated to specific fluxes related by an action of the Weyl group of \boldsymbol{\mathrm{E}_8}E8 leads to the S-confinement duality of the \boldsymbol{\mathrm{USp}(2Q)}USp(2𝐐) gauge theory with six fundamentals and a traceless antisymmetric field. Finally, we show that the theories we discuss possess an \boldsymbol{\mathrm{SU}(2)_{\text{ISO}}}SU(2)ISO symmetry in four dimensions that can be naturally identified with the isometry of the two-sphere. We give evidence in favor of this identification by computing the `t Hooft anomalies of the \boldsymbol{\mathrm{SU}(2)_{\text{ISO}}}SU(2)ISO in 4d and comparing them with the predicted anomalies from 6d.

scholarly journals Higgs compositeness in Sp(2N) gauge theories – Determining the low-energy constants with lattice calculations

2018 ◽  
Vol 175 ◽  
pp. 08011 ◽  
Author(s):  
Ed Bennett ◽  
Deog Ki Hong ◽  
Jong-Wan Lee ◽  
C.-J. David Lin ◽  
Biagio Lucini ◽  
...  
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Effective Field ◽  
Higgs Model ◽  
Low Energy ◽  
Dirac Fermion ◽  
Global Symmetry ◽  
Composite Higgs ◽  
Lattice Calculations ◽  
Energy Constants

As a first step towards a quantitative understanding of the SU(4)/Sp(4) composite Higgs model through lattice calculations, we discuss the low energy effective field theory resulting from the SU(4) → Sp(4) global symmetry breaking pattern. We then consider an Sp(4) gauge theory with two Dirac fermion flavours in the fundamental representation on a lattice, which provides a concrete example of the microscopic realisation of the SU(4)/Sp(4) composite Higgs model. For this system, we outline a programme of numerical simulations aiming at the determination of the low-energy constants of the effective field theory and we test the method on the quenched theory. We also report early results from dynamical simulations, focussing on the phase structure of the lattice theory and a calculation of the lowest-lying meson spectrum at coarse lattice spacing.

scholarly journals A hybrid algorithm for solving inverse boundary problems with respect to intermediate masses on a beam

2021 ◽  
Vol 104 (4) ◽  
pp. 4-13
Author(s):  
A.A. Aniyarov ◽  
◽  
S.A. Jumabayev ◽  
D.B. Nurakhmetov ◽  
R.K. Kussainov ◽  
...  
Keyword(s):  
Inverse Problem ◽  
Numerical Analysis ◽  
Hybrid Algorithm ◽  
Natural Frequencies ◽  
Boundary Problems ◽  
Inverse Boundary ◽  
The Third ◽  
Uniform Beam ◽  
Analytical Relations ◽  
The Masses

The inverse problem of determining the weight of three intermediate masses on a uniform beam from the known three natural frequencies has been solved. The performed numerical analysis allows restoring the value of only the second mass in a unique way. The inverse problem of determining the weight of three intermediate masses is solved uniquely except in the case when the first and the third masses are located geometrically symmetric relative to the middle of the beam. The hybrid algorithm for the unique solving inverse problem of determining the weight of three intermediate masses has been developed. The first three natural frequencies of the beam are calculated numerically by using the Maple computer package. Analytical relations between the masses are found.

TWISTED CURRENT ALGEBRAS AND GAUGE SYMMETRY BREAKING IN STRING THEORY

1986 ◽  
Vol 01 (01) ◽  
pp. 29-36 ◽  
Author(s):  
T.R. GOVINDRAJAN ◽  
T. JAYRAMAN ◽  
AMITABH MUKHERJEE ◽  
SPENTA R. WADIA
Keyword(s):  
Gauge Symmetry ◽  
Lie Group ◽  
Current Algebra ◽  
Zero Point ◽  
Global Symmetry ◽  
Compact Lie Group ◽  
Gauge Bosons ◽  
Point Energy ◽  
Symmetry Generators ◽  
The Masses

The appearance of vorticity 01 twists in 2-dim. current algebra associated with a compact Lie group G can lead to the absence of some of the global symmetry generators of G and one expects the symmetry to be reduced to a smaller subgroup H of G. Contrary to expectations, all gauge bosons, including those of H become massive. This is because the zero point energy of the string is uniformly shifted upward affecting the masses of all particles by the same amount.

scholarly journals The Global Symmetry Group of Quantum Spectral Beams and Geometric Phase Factors

2015 ◽  
Vol 2015 ◽  
pp. 1-16 ◽  
Author(s):  
Elias Zafiris
Keyword(s):  
Geometric Phase ◽  
Affine Space ◽  
Differential Invariant ◽  
Space Structure ◽  
Equivalence Classes ◽  
Global Symmetry ◽  
State Spaces ◽  
Gauge Equivalence ◽  
Global Symmetry Group ◽  
De Rham

We propose a cohomological modelling schema of quantum state spaces and their connectivity structures in relation to the formulation of global geometric phase phenomena. In the course of this schema, we introduce the notion of Hermitian differential line sheaves or unitary rays and classify their gauge equivalence classes in terms of a global differential invariant given by the de Rham cohomology class of the curvature. Furthermore, we formulate and interpret physically the curvature recognition integrality theorem for unitary rays. Using this recognition theorem, we define the notion of a quantum spectral beam and show that it has an affine space structure with structure group given by the characters of the fundamental group.

Stochasticity caused by radiation misalignment in magnetized free-electron lasers with trapped particles

1991 ◽  
Vol 45 (3) ◽  
pp. 339-353 ◽  
Author(s):  
F. B. Rizzato
Keyword(s):  
Numerical Analysis ◽  
Transverse Momentum ◽  
Wave Vector ◽  
Free Electron ◽  
Global Symmetry ◽  
Free Electron Lasers ◽  
Trapped Particles ◽  
Laser Wave ◽  
Theoretical And Numerical Analysis ◽  
Weakly Dependent

A theoretical and numerical analysis is performed on the conditions under which electron stochastic detrapping due to small misalignments between the laser wave vector and the global symmetry of the system occurs in magnetically guided free-electron lasers. In particular, it is shown that the threshold for stochasticity is only weakly dependent on the transverse momentum of trapped particles, which allows some simple general conclusions to be drawn regarding the maximum values allowed for this misalignment.

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