THE SU(2) U(1) ELECTROWEAK MODEL BASED ON THE NONLINEARLY REALIZED GAUGE GROUP. II. FUNCTIONAL EQUATIONS AND THE WEAK POWER-COUNTING

@inproceedings{Bettinelli2008THESU,
  title={THE SU(2) U(1) ELECTROWEAK MODEL BASED ON THE NONLINEARLY REALIZED GAUGE GROUP. II. FUNCTIONAL EQUATIONS AND THE WEAK POWER-COUNTING},
  author={Daniele Bettinelli and Ruggero Ferrari and Andrea Quadri},
  year={2008}
}
In the present paper, that is the second part devoted to the construction of an electroweak model based on a nonlinear realization of the gauge group SU(2) U(1), we study the tree-level vertex functional with all the sources necessary for the functional formulation of the relevant symmetries (Local Functional Equation, Slavnov‐Taylor identity, Landau Gauge Equation) and for the symmetric removal of the divergences. The Weak Power Counting criterion is proven in the presence of the novel sources… 

Figures from this paper

The Electroweak Model based on the Nonlinearly realized Gauge Group. Theoretical Foundations and Phenomenological Prospects

A consistent strategy for the subtraction of the divergences in the nonlinearly realized Electroweak Model in the loop expansion is presented. No Higgs field enters into the perturbative spectrum.

Nonlinear Realization of the SU(5) Georgi-Glashow Model

The formulation of a grand unified field theory based on the nonlinearly realized SU(5) gauge group is presented. The tree-level action is constructed by requiring invariance under local left SU(5)

One-loop self-energies in the electroweak model with a nonlinearly realized gauge group

We evaluate at one loop the self-energies for the W, Z mesons in the electroweak model where the gauge group is nonlinearly realized. In this model the Higgs boson parameters are absent, while a

The algebra of physical observables in non-linearly realized gauge theories

We classify the physical observables in spontaneously broken non-linearly realized gauge theories in the recently proposed loopwise expansion governed by the Weak Power-Counting (WPC) and the Local

Stückelberg mechanism in the presence of physical scalar resonances

We show that it is possible to accommodate physical scalar resonances within a minimal nonlinearly realized electroweak theory in a way compatible with a natural Hopf algebra selection criterion

Of Higgs , Unitarity and other Questions 1

On the verge of conclusive checks on the Standard Model by the LHC, we discuss some of the basic assumptions. The reason for this analysis stems from a recent proposal of an Electroweak Model based

Quantum Local Symmetry of the D-Dimensional Non-Linear Sigma Model: A Functional Approach

It is shown that all the divergences of the one-particle irreducible (1-PI) amplitudes can be classified according to the solutions of the LFE, and applications to the non-linearly realized Yang-Mills theory and the electroweak theory are briefly addressed.

Of higgs, unitarity and other questions

On the verge of conclusive checks on the Standard Model by the LHC, we discuss some of the basic assumptions. The reason for this analysis stems from a recent proposal of an electroweak model based

Limiting case of modified electroweak model for contracted gauge group

The modification of the Electroweak Model with 3-dimensional spherical geometry in the matter fields space is suggested. The Lagrangian of this model is given by the sum of the free (without any

Scalar resonances in the non-linearly realized electroweak theory

A bstractWe introduce a physical scalar sector in a SU(2)⊗U(1) electroweak theory in which the gauge group is realized non linearly. By invoking theoretical as well as experimental constraints, we

References

SHOWING 1-10 OF 78 REFERENCES

Massive Yang-Mills theory based on the nonlinearly realized gauge group

We propose a subtraction scheme for a massive Yang-Mills theory realized via a nonlinear representation of the gauge group [here $SU(2)$]. It is based on the subtraction of the poles in

Physical Unitarity for Massive Non-abelian Gauge Theories in the Landau Gauge: Stueckelberg and Higgs

We discuss the problem of unitarity for Yang-Mills theory in the Landau gauge with a mass term a la Stueckelberg. We assume that the theory (non-renormalizable) makes sense in some subtraction scheme

Weak Power-Counting Theorem for the Renormalization of the Nonlinear Sigma Model in Four Dimensions

The formulation of the non linear σ-model in terms of flat connection allows the construction of a perturbative solution of a local functional equation by means of cohomological techniques which are

Deriving nondecoupling effects of heavy fields from the path integral: A heavy Higgs field in an SU(2) gauge theory.

We describe a method to remove nondecoupling heavy fields from a quantized field theory and to construct a low-energy one-loop effective Lagrangian by integrating out the heavy degrees of freedom in

FURTHER COMMENTS ON THE SYMMETRIC SUBTRACTION OF THE NONLINEAR SIGMA MODEL

Recently a perturbative theory has been constructed, starting from the Feynman rules of the nonlinear sigma model at the tree level in the presence of an external vector source coupled to the flat

Renormalization of the abelian Higgs-Kibble model

This article is devoted to the perturbative renormalization of the abelian Higgs-Kibble model, within the class of renormalizable gauges which are odd under charge conjugation. The Bogoliubov

Endowing the nonlinear sigma model with a flat connection structure: a way to renormalization

We discuss the quantized theory of a pure-gauge non-abelian vector field (flat connection) as it would appear in a mass term ? la St?ckelberg. However the paper is limited to the case where only the

Renormalization of the non-linear sigma model in four dimensions. A two-loop example

The renormalization procedure of the non-linear SU(2) sigma model in D = 4 proposed in refs. [1],[2] is here tested in a truly non-trivial case where the non-linearity of the functional equation is
...