“Integrating in” and effective Lagrangian for non-supersymmetric Yang-Mills theory (original) (raw)

WIS/06/04-FEB-DPP The Effective Potential of the N = 0 ∗ Yang-Mills Theory

2004

We study the N = 4 SYM theory with SU(N) gauge group in the large N limit, deformed by giving equal mass to the four adjoint fermions. With this modification, a potential is dynamically generated for the six scalars in the theory, φ i. We show that the resulting theory is stable (perturbatively in the ’t Hooft coupling), and that there are some indications that 〈φ 〉 = 0 is the vacuum of the theory. Using the AdS/CFT correspondence, we compare the results to the corresponding supergravity computation, i.e. brane probing a deformed AdS5 × S 5 background, and we find qualitative agreement. 1

The Effective Potential of the N = 0* Yang-Mills Theory

Journal of High Energy Physics, 2004

We study the N = 4 SYM theory with SU(N ) gauge group in the large N limit, deformed by giving equal mass to the four adjoint fermions. With this modification, a potential is dynamically generated for the six scalars in the theory, φ i . We show that the resulting theory is stable (perturbatively in the 't Hooft coupling), and that there are some indications that φ = 0 is the vacuum of the theory. Using the AdS/CFT correspondence, we compare the results to the corresponding supergravity computation, i.e. brane probing a deformed AdS 5 × S 5 background, and we find qualitative agreement.

The Effective Lagrangian for Bulk Fermions in Models with Extra Dimensions

2011

We compute the dimension 6 effective Lagrangian arising from the tree level integration of an arbitrary number of bulk fermions in models with warped extra dimensions. The coefficients of the effective operators are written in terms of simple integrals of the metric and are valid for arbitrary warp factors, with or without an infrared brane, and for a general Higgs profile. All relevant tree level fermion effects in electroweak and flavor observables can be computed using this effective Lagrangian.

The effective Lagrangian for bulk fermions

Journal of High Energy Physics, 2012

Properties of effective massive Yang-Mills theory in the limit of vanishing vector boson mass

The European Physical Journal A, 2014

Two-loop corrections to the pole mass of the vector boson and the pole masses and the magnetic moments of fermions are calculated in the framework of an effective field theory of massive Yang-Mills fields interacting with fermions. It is shown that the limit of vanishing vector boson mass is finite for all these quantities. Implications of the obtained results are discussed.

Supersymmetry and higher derivative terms in the effective action of Yang-Mills theories

Journal of High Energy Physics, 1998

Higher derivative terms in the effective action of certain Yang-Mills theories can be severely constrained by supersymmetry. We show that requiring sixteen supersymmetries in quantum mechanical gauge theory determines the v 6 term in the effective action. Even the numerical coefficient of the v 6 term is fixed in terms of lower derivative terms in the effective action. 6/98 1 paban@sns.ias.edu

Effective action of super Yang–Mills: superspace approach

Physics Letters B, 2001

Using the N = 2 off-shell formulation in harmonic superspace for N = 4 super Yang-Mills theory, we present a representation of the one-loop effective action which is free of so-called coinciding harmonic singularities and admits a straightforward evaluation of low-energy quantum corrections in the framework of an N = 2 superfield heat kernel technique. We illustrate our approach by computing the lowenergy effective action on the Coulomb branch of SU (2) N = 4 super Yang-Mills. Our work provides the first derivation of the low-energy action of N = 4 super Yang-Mills theory directly in N = 2 superspace without any reduction to N = 1 superfields and for a generic background N = 2 Yang-Mills multiplet.

The strong couplings of massive Yang-Mills theory

Journal of High Energy Physics, 2022

We study the massive Yang-Mills theory in which the mass term is added by hand. The standard perturbative approach suggests that the massless limit of this theory is not smooth. We confirm that this issue is related to the existence of additional degrees of freedom, which are absent in the massless theory. Nevertheless, we show that the longitudinal modes become strongly coupled at the Vainshtein scale, which coincides with the scale of the unitarity violation. Beyond this scale, they decouple from the remaining degrees of freedom, and the massless theory is restored up to small corrections. From here, it follows that the apparent discontinuity in the massless limit is only an artefact of the perturbation theory. The massless limit of massive Yang-Mills theory is smooth, as originally proposed in [21].

An effective action for Yang-Mills field strengths

Nuclear Physics B, 1990

We investigate the gauge-invariant semi-classical effective action for the field strength tensor of Yang-Mills theories and emphasize that renormalization introduces a physical scale in this formulation. The stationary points of the renormalized action are partially classified by a topological number, and imply a non-vanishing (G 2). For SU(2) all homogeneous vacuum solutions are explicitly constructed, for SU(3) numerical results are presented. The SU(2) and SU(3) ground states are found to differ qualitatively. An effective fermion theory is extracted which in the low-momentum regime reduces to a particular four-point interaction, but resembles gluon exchange at high momentum transfers.

On pure Yang-Mills theory in 3+1 dimensions: Hamiltonian, vacuum and gauge invariant variables

arXiv: High Energy Physics - Theory, 2006

In this work we discuss an analytic approach towards the solution of pure Yang-Mills theory in 3+1 dimensional spacetime which strongly suggests that the recent strategy already applied to pure Yang-Mills theory in 2+1 can be extended to 3+1 dimensions. We show that the local gauge invariant variables introduced by Bars gives a natural generalisation to any dimension of the formalism of Karabali and Nair which recently led to a new understanding of the physics of QCD in dimension 2+1. After discussing the kinematics of these variables, we compute the jacobian between the Yang-Mills and Bars variables and propose a regularization procedure which preserves a generalisation of holomorphic invariance. We discuss the construction of the QCD hamiltonian properly regularized and compute the behavior of the vacuum wave functional both at weak and strong coupling. We argue that this formalism allows the developpement of a strong coupling expansion in the continuum by computing the first loca...

“Integrating in” and effective Lagrangian for non-supersymmetric Yang-Mills theory (original) (raw)

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