
This article is cited in 4 scientific papers (total in 4 papers)
Symmetry properties and dynamics in gauge theories with scalar fields
V. A. Matveev^{}, A. N. Tavkhelidze^{}, M. E. Shaposhnikov^{}
Abstract:
The possibility of spontaneous breaking of the local and global
symmetries in gauge theories with scalar fields is discussed (as
usual, spontaneous symmetry breaking is taken to mean that
$[Q,H]=0$, $Q  vac \rangle\neq 0$, where $H$ is the
Hamiltonian and $Q$ is the generator of a gauge transformation).
It is shown that the standard assumption $\langle \varphi \rangle\neq
0$ in gauge theories does not mean that the symmetry is
spontaneously broken. It is shown that under certain conditions
the theory can be reformulated in terms of gaugeinvariant
(“colorless”) local fields. An example is given of a theory of
eleetroweak interactions in which the occurrence of shortrange
forces transmitted by massive vector bosons is entirely due to the
nonvanishing of the gaugeinvariant order parameter of the vacuum
expectation vatue $\langle\varphi^+\varphi\rangle=\eta$ (of a scalar
condensate) and is not due to spontaneous breaking of the weak
isospin. The mass spectrum of particles in nonAbelian gauge
theories is analyzed in its dependence on the magnitude and sign
of the scalar condensate. It is shown that for $\eta\gg\Lambda^2$
($\Lambda$ is the reciprocal of the confinement radius) the
spectrum contains only colorless states, and the weak coupling
regime is realized, so that physical quantities can be calculated
by perturbation theory. In the ease of a small
$(\eta\ll\Lambda^2)$ or negahve $(\eta\sim\Lambda^2)$ scalar
condensate, the strong coupling regime is realized in the system.
In QCD with massless scalar quarks in the ease
$\eta\sim\Lambda^2$ the possible existence of a new family of
hadrons with masses of the order of several tens of GeV and
containing scalars is predicted.
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Theoretical and Mathematical Physics, 1984, 59:3, 529–544
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Received: 02.02.1984
Citation:
V. A. Matveev, A. N. Tavkhelidze, M. E. Shaposhnikov, “Symmetry properties and dynamics in gauge theories with scalar fields”, TMF, 59:3 (1984), 323–344; Theoret. and Math. Phys., 59:3 (1984), 529–544
Citation in format AMSBIB
\Bibitem{MatTavSha84}
\by V.~A.~Matveev, A.~N.~Tavkhelidze, M.~E.~Shaposhnikov
\paper Symmetry properties and dynamics in gauge theories with scalar fields
\jour TMF
\yr 1984
\vol 59
\issue 3
\pages 323344
\mathnet{http://mi.mathnet.ru/tmf4993}
\transl
\jour Theoret. and Math. Phys.
\yr 1984
\vol 59
\issue 3
\pages 529544
\crossref{https://doi.org/10.1007/BF01018191}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1984TY74200001}
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http://mi.mathnet.ru/eng/tmf4993 http://mi.mathnet.ru/eng/tmf/v59/i3/p323
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A. N. Korotkov, V. F. Tokarev, “Instanton effects in twodimensional scalar electrodynamics”, Theoret. and Math. Phys., 73:1 (1987), 1060–1068

L. R. Surguladze, F. V. Tkachev, “Coefficient functions of gluon and quark condensates in QCD sum rules for light vector mesons in the twoloop approximation”, Theoret. and Math. Phys., 75:2 (1988), 502–509

Jafarov R.G., AghamAlieva L.A., AghaKishieva P.E., Rahimzade S.G., Mamedova S.N., Mutallimov M.M., “Problem of the Landau Poles in Quantum Field Theory: from N. N. Bogolyubov to the Present Day”, Russ. Phys. J., 59:11 (2017), 1971–1980

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