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A Universal Lagrangian for Massive Yang-Mills Theories without Higgs Bosons
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hep-th/9903135
NUP-A-98-8
A Universal Lagrangian for Massive
Yang-Mills Theories without Higgs Bosons
Shinichi Deguchi 1
Atomic Energy Research Institute, College of Science and Technology,
Nihon University, Tokyo 101-8308, Japan
Abstract
A universal Lagrangian that defines various four-dimensional massive Yang-
Mills theories without Higgs bosons is presented. Each of the theories is charac-
terized by a constant k contained in the Lagrangian. For k = 0, the Lagrangian
reduces to one defining the topologically massive Yang-Mills theory, and for k = 1,
the Lagrangian reduces to one defining the Freedman-Townsend model. New mas-
sive Yang-Mills theories are obtained by choosing k to be real numbers other than
0 and 1.
PACS numbers: 11.10.Ef, 11.15.-q, 14.70.Pw
1E-mail: deguchi@phys.cst.nihon-u.ac.jp
1
Understanding of mass generation for gauge fields is one of the most important
subjects discussed in the non-Abelian gauge theories. The Higgs model is widely
accepted at present as a popular model describing mass generation for Yang-Mills
fields in four dimensions. Although the Higgs model is attractive because of its
renormalizable structure, the Higgs bosons have not been found experimentally
yet. Hence, four-dimensional massive Yang-Mills theories without Higgs bosons
may be useful as alternative (or effective) theories of the Higgs model.
Until recently, several massive Yang-Mills theories in four dimensions that
involve no Higgs bosons have been presented. The oldest theory is the non-
Abelian Stu?ckelberg formalism [1] or, equivalently, the gauged nonlinear sigma
model [2]. The non-Abelian Stu?ckelberg formalism has actually been applied to
the construction of an electroweak model [3], and to the description of gluon mass
generation in continuum QCD [4].
Besides the non-Abelian Stu?ckelberg formalism, a model presented by Freed-
man and Townsend [5] is known as a four-dimensional massive Yang-Mill
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