Old wine in a new bottle: Technidilaton as the 125 GeV Higgs

2017 ◽  
Vol 32 (36) ◽  
pp. 1747026
Author(s):  
Koichi Yamawaki
Keyword(s):  
Sigma Model ◽  
Local Symmetry ◽  
Effective Theory ◽  
Nonlinear Sigma Model ◽  
Scale Invariant ◽  
Gauge Bosons ◽  
Strongly Coupled ◽  
Technicolor Model ◽  
Vector Bosons ◽  
The One

The first Nagoya SCGT workshop back in 1988 (SCGT 88) was motivated by the walking technicolor and technidilaton. Now at SCGT15 I returned to the “old wine” in “a new bottle”, the recently discovered 125 Higgs boson as the technidilaton. We show that the Standard Model (SM) Higgs Lagrangian is identical to the nonlinear realization of both the scale and chiral symmetries (“scale-invariant nonlinear sigma model”), and is further gauge equivalent to the “scale-invariant Hidden Local Symmetry (HLS) model” having possible new vector bosons as the HLS gauge bosons with scale-invariant mass: SM Higgs is nothing but a (pseudo) dilaton. The effective theory of the walking technicolor has precisely the same type of the scale-invariant nonlinear sigma model, thus further having the scale-invariant HLS gauge bosons (technirho’s, etc.). The technidilaton mass [Formula: see text] comes from the trace anomaly, which yields [Formula: see text] via PCDC, in the underlying walking [Formula: see text] gauge theory with [Formula: see text] massless flavors, where [Formula: see text] is the the decay constant and [Formula: see text]. This implies [Formula: see text] for [Formula: see text] in the one-family walking technicolor model [Formula: see text], in good agreement with the current LHC Higgs data. In the anti-Veneziano limit, [Formula: see text], with [Formula: see text]fixed and [Formula: see text]fixed [Formula: see text], we have a result: [Formula: see text]. Then the technidilaton is a naturally light composite Higgs out of the strongly coupled conformal dynamics, with its couplings even weaker than the SM Higgs. Related holographic and lattice results are also discussed. In particular, such a light flavor-singlet scalar does exists in the lattice simulations in the walking regime.

HIDDEN LOCAL SYMMETRIES IN EXTENDED ABBOTT-FARHI MODELS

1986 ◽  
Vol 01 (10) ◽  
pp. 565-570
Author(s):  
HYUNSOO MIN ◽  
T. YANAGIDA
Keyword(s):  
Gauge Invariance ◽  
Sigma Model ◽  
Local Symmetry ◽  
Low Energy ◽  
Nonlinear Sigma Model ◽  
Gauge Bosons ◽  
Hidden Symmetry ◽  
Interesting Possibility ◽  
Local Symmetries ◽  
Energy Physics

It is shown that the low-energy physics of an extended Abbott-Farhi model with two scalar doublets is described by a nonlinear sigma model based on SP (4)/ SU (2)× SU (2), which possesses an SU(2) gauge invariance as a hidden symmetry. This raises the interesting possibility of identifying the weak bosons observed at the collider experiments with the composite gauge bosons associated to such a hidden local symmetry.

scholarly journals Massive gravity from double copy

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Arshia Momeni ◽  
Justinas Rumbutis ◽  
Andrew J. Tolley
Keyword(s):  
Sigma Model ◽  
Massive Gravity ◽  
Effective Field ◽  
Effective Theory ◽  
Nonlinear Sigma Model ◽  
Limit Theory ◽  
Four Dimensions ◽  
Yang Mills ◽  
Massive Spin ◽  
Double Copy

Abstract We consider the double copy of massive Yang-Mills theory in four dimensions, whose decoupling limit is a nonlinear sigma model. The latter may be regarded as the leading terms in the low energy effective theory of a heavy Higgs model, in which the Higgs has been integrated out. The obtained double copy effective field theory contains a massive spin-2, massive spin-1 and a massive spin-0 field, and we construct explicitly its interacting Lagrangian up to fourth order in fields. We find that up to this order, the spin-2 self interactions match those of the dRGT massive gravity theory, and that all the interactions are consistent with a Λ3 = (m2MPl)1/3 cutoff. We construct explicitly the Λ3 decoupling limit of this theory and show that it is equivalent to a bi-Galileon extension of the standard Λ3 massive gravity decoupling limit theory. Although it is known that the double copy of a nonlinear sigma model is a special Galileon, the decoupling limit of massive Yang-Mills theory is a more general Galileon theory. This demonstrates that the decoupling limit and double copy procedures do not commute and we clarify why this is the case in terms of the scaling of their kinematic factors.

RIGID QED AND NONLINEAR SIGMA MODELS

1993 ◽  
Vol 08 (27) ◽  
pp. 2585-2592 ◽  
Author(s):  
M. AWADA ◽  
M. MA ◽  
DAVID ZOLLER
Keyword(s):  
Sigma Model ◽  
Beta Function ◽  
Nonlinear Sigma Model ◽  
Coulomb Interactions ◽  
Vacuum Fluctuation ◽  
Strongly Coupled ◽  
Weak Phase ◽  
Running Coupling ◽  
Minkowski Signature ◽  
Euclidean Signature

We show that in the absence of Coulomb interactions the kinetic theory of a recently proposed new model of strongly coupled QED behaves like an enhanced two-dimensional nonlinear sigma model with O(D+1) symmetry in Euclidean signature (which becomes an on-compact O(D, 1) symmetry in Minkowski signature). The beta-function is nontrivial in the absence of virtual fermions due to the non-perturbative vacuum fluctuation of the gauge field. In the presence of Coulomb the running coupling approaches an uv stable fixed point αc of order one. In the weak phase the curvature coupling increases at short distances and decreases at large distances.

VECTOR BOSON DOMINANCE OF ELECTROWEAK INTERACTIONS

1993 ◽  
Vol 08 (33) ◽  
pp. 3129-3138 ◽  
Author(s):  
YU. F. PIROGOV
Keyword(s):  
Field Theory ◽  
Standard Model ◽  
Vector Boson ◽  
Local Symmetry ◽  
Higgs Bosons ◽  
Quantum Field ◽  
Gauge Bosons ◽  
The Standard Model ◽  
Vector Bosons ◽  
Common Substructure

The linearization of the nonlinear standard model G/H= SU(3) L × U(1)/SU(2) L × U(1) via the hidden local symmetry H loc = SU(2) L × U(1) is considered. Mixing of the light elementary gauge bosons of the standard model with the dynamically generated heavy composite vector bosons is studied under the hypothesis of vector boson dominance. The model is theoretically consistent as quantum field theory and phenomenologically acceptable. It can be used as a guide to study systematically the deviations from the standard model due to a common substructure of leptons, quarks and Higgs bosons.

Non-Abelian BFFT embedding, Schrödinger quantization and the field–antifield anomaly of the O(N) nonlinear sigma model

2016 ◽  
Vol 31 (01) ◽  
pp. 1550225 ◽  
Author(s):  
E. M. C. de Abreu ◽  
J. Ananias Neto ◽  
A. C. R. Mendes ◽  
G. Oliveira-Neto
Keyword(s):  
Excited States ◽  
Sigma Model ◽  
Nonlinear Sigma Model ◽  
Quantum Level ◽  
Abelian Gauge ◽  
Abelian Gauge Theory ◽  
Class System ◽  
Gauge Symmetries ◽  
Nonlocal Field ◽  
The One

We have embedded the [Formula: see text] nonlinear sigma model in a non-Abelian gauge theory. After that as a first class-system, it was quantized using two different approaches: the functional Schrödinger method and the nonlocal field–antifield procedure. First, the quantization was performed with the functional Schrödinger method, for [Formula: see text], obtaining the wave functionals for the ground and excited states. Second, using the well-known BV formalism, we have computed the one-loop anomaly. This result shows that the classical gauge symmetries, which appear due to the conversion via BFFT method, are broken at the quantum level.

THE BOSONIC SIGMA MODEL ON A COMPACT SURFACE

1990 ◽  
Vol 05 (25) ◽  
pp. 2031-2037 ◽  
Author(s):  
M. LEBLANC ◽  
P. MADSEN ◽  
R. B. MANN ◽  
D. G. C. McKEON
Keyword(s):  
Sigma Model ◽  
Stereographic Projection ◽  
Two Dimensions ◽  
Compact Surface ◽  
Three Dimensions ◽  
Dimensional Euclidean Space ◽  
Nonlinear Sigma Model ◽  
Β Function ◽  
The One ◽  
Infrared Divergences

A stereographic projection is used to map the bosonic nonlinear sigma model with torsion from two-dimensional Euclidean space onto a sphere-S2 embedded in three dimensions. The one-loop β-function of the torsionless σ-model is determined using operator regularization to handle ultraviolet divergences. Only by excluding the lowest eigenstate of the rotation operator on the sphere can the usual β-function be recovered; inclusion of this eigenstate leads to severe infrared divergences. Both the ultraviolet and infrared divergences can be regulated by working in n, rather than two, dimensions, in which case the contribution of the lowest mode cancels exactly against the contribution of all other modes, resulting in a vanishing β-function.

scholarly journals Hidden local symmetry and beyond

2017 ◽  
Vol 26 (01n02) ◽  
pp. 1740032 ◽  
Author(s):  
Koichi Yamawaki
Keyword(s):  
Dark Matter ◽  
Vector Meson ◽  
Sigma Model ◽  
Local Symmetry ◽  
Kinetic Term ◽  
Nonlinear Sigma Model ◽  
Nonlinear Realization ◽  
Additional Symmetry ◽  
The Standard Model ◽  
Work Done

Gerry Brown was a godfather of our hidden local symmetry (HLS) for the vector meson from the birth of the theory throughout his life. The HLS is originated from very nature of the nonlinear realization of the symmetry [Formula: see text] based on the manifold [Formula: see text], and thus is universal to any physics based on the nonlinear realization. Here, I focus on the Higgs Lagrangian of the Standard Model (SM), which is shown to be equivalent to the nonlinear sigma model based on [Formula: see text] with additional symmetry, the nonlinearly-realized scale symmetry. Then, the SM does have a dynamical gauge boson of the SU[Formula: see text] HLS, “SM [Formula: see text] meson”, in addition to the Higgs as a pseudo-dilaton as well as the NG bosons to be absorbed in to the [Formula: see text] and [Formula: see text]. Based on the recent work done with Matsuzaki and Ohki, I discuss a novel possibility that the SM [Formula: see text] meson acquires kinetic term by the SM dynamics itself, which then stabilizes the skyrmion dormant in the SM as a viable candidate for the dark matter, what we call “dark SM skyrmion (DSMS)”.

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