Dynamical gauge boson and strong - weak reciprocity

It is proposed that asymptotically nonfree gauge theories are consistently interpreted as theories of composite gauge bosons. It is argued that when hidden local symmetry is introduced, masslessness and coupling universality of dynamically generated gauge boson are ensured. To illustrate these ideas we take a four dimensional Grassmannian sigma model as an example and show that the model should be regarded as a cut-off theory and there is a critical coupling at which the hidden local symmetry is restored. Propagator and vertex functions of the gauge field are calculated explicitly and existence of the massless pole is shown. The beta function determined from the Z factor of the dynamically generated gauge boson coincides with that of an asymptotic nonfree elementary gauge theory. Using these theoretical machinery we construct a model in which asymptotic free and nonfree gauge bosons coexist and their running couplings are related by the reciprocally proportional relation.

gauge field theory: SU(N)
fermion: flavor
Higgs model
gauge boson: composite
effective action
hidden symmetry
renormalization group: beta function
perturbation theory: higher-order
numerical calculations

References(26)

Figures(0)

Electric - magnetic duality in supersymmetric nonAbelian gauge theories

N. Seiberg
(
- Rutgers U., Piscataway and
- Princeton, Inst. Advanced Study
)

- Nucl.Phys.B 435 (1995) 129-146
•
e-Print:
- hep-th/9411149
•
DOI:
- 10.1016/0550-3213(94)00023-8

A Dynamical origin for the electromagnetic field

J.D. Bjorken
(
- CERN
)

- Annals Phys. 24 (1963) 174-187
•
DOI:
- 10.1016/0003-4916(63)90069-1

A New Approach to Collective Phenomena in Superconductivity Models

Tohru Eguchi
(
- Chicago U., EFI
)

- Phys.Rev.D 14 (1976) 2755
•
DOI:
- 10.1103/PhysRevD.14.2755

Dynamical Composite Models of Electroweak Bosons

Mahiko Suzuki
(
- UC, Berkeley and
- LBL, Berkeley
)

- Phys.Rev.D 37 (1988) 210
•
DOI:
- 10.1103/PhysRevD.37.210

A Comment on Suzuki's Model for Composite Vector Mesons

- Phys.Rev.D 38 (1988) 405
•
DOI:
- 10.1103/PhysRevD.38.405

The Equivalence of the SU(N) Yang-Mills theory with a purely fermionic model

Anna Hasenfratz
(
- Arizona U.
)
,
Peter Hasenfratz
(
- Bern U.
)

- Phys.Lett.B 297 (1992) 166-170
•
e-Print:
- hep-lat/9207017
•
DOI:
- 10.1016/0370-2693(92)91086-O

Limits on Massless Particles

Steven Weinberg
(
- Harvard U.
)
,
Edward Witten
(
- Harvard U.
)

- Phys.Lett.B 96 (1980) 59-62
•
DOI:
- 10.1016/0370-2693(80)90212-9

Implication of Massless Particles With Spin $J = 1, 3/2, ...$

Taichiro Kugo
(
- Kyoto U.
)
,
Shozo Uehara
(
- Kyoto U.
)

- Prog.Theor.Phys. 66 (1981) 1044,
- Prog. Theor. Phys. 66 ( 1981) 1044-1060
•
DOI:
- 10.1143/PTP.66.1044

The N=8 Supergravity Theory. 1. The Lagrangian

- Phys.Lett.B 80 (1978) 48,
- IN *APPELQUIST, T. (ED.) ET AL.: MODERN KALUZA-KLEIN THEORIES*, 206-209. (PHYS. LETT. B80 (1978) 49-51) AND PARIS EC. NORM. SUP. - LPTENS 78-23 (78,REC.SEP.) 10 P. (SEE BOOK INDEX),
•
DOI:
- 10.1016/0370-2693(78)90303-9

The SO(8) Supergravity

- Nucl.Phys.B 159 (1979) 141-212
•
DOI:
- 10.1016/0550-3213(79)90331-6

A Grand Unified Theory Obtained from Broken Supergravity

- Phys.Lett.B 94 (1980) 343-348
•
DOI:
- 10.1016/0370-2693(80)90893-X

Nonlinear Realization and Hidden Local Symmetries

- Phys.Rept. 164 (1988) 217-314
•
DOI:
- 10.1016/0370-1573(88)90019-1

A 1/n Expandable Series of Nonlinear Sigma Models with Instantons

- Nucl.Phys.B 146 (1978) 63-76,
- In *Brezin, E. (ed.), Wadia, S.R. (ed.): The large N expansion in quantum field theory and statistical physics* 64-77. and In *Rebbi, C. (ed.), Soliani, G. (ed.): Solitons and particles* 432-436
•
DOI:
- 10.1016/0550-3213(78)90432-7