arXiv subjects

Renata Jora

Publications and source records attributed to Renata Jora.

At least 55 records · Page 3Linked to original sources

arXiv2016

Spontaneous symmetry breaking and Goldstone theorem for composite states revisited

We discuss the well-known phenomenon of spontaneous symmetry breaking for a linear sigma model for scalar and pseudoscalar mesons based on the meson composite structure and the normalization of the quantum states. To test our formulation and validate our approach we give another proof of the Goldstone theorem and derive the corresponding mass eigenstates of the theory. We briefly describe the possible wave function of a meson that leads to the adequate mass eigenstates.

hep-ph↗

arXiv2016

About the mass corrections in an abelian Higgs model

We study the corrections to the scalar boson mass in an abelian Higgs model by considering the global properties of the partition function. We find that although the two point function for the Higgs boson receives quantum corrections, the mass of the scalar remains unaltered and thus the physical mass is equal to the bare one.

hep-ph↗

arXiv2015

Phase transitions for SU(N) gauge theories with arbitrary number of flavors

We study the phase diagram of an $SU(N)$ gauge theory in terms of the number of colors $N$ and flavors $N_f$ with emphasis on the confinement and chiral symmetry breaking phases. We argue that as opposed to SUSY QCD there is a small region in the $(N,N_f)$ plane where the theory has the chiral symmetry broken but it is unconfined. The possibility of a new phase with strong confinement and chiral symmetry breaking is suggested.

hep-ph↗

arXiv2015

Note on the standard model as an effective theory

We present a criterion of consistency derived from the analogy between the partition function of a quantum field theory and that of a statistical system. Based on this we examine a new class of higher dimension operators that might act in the standard model.

hep-ph↗

arXiv2015

About the particle structure and content of the standard model

We determine the number and distribution of the fermion states in the standard model based on the possible fermion representations of the gauge bosons. By extracting the even parity scalars from the fermion states we suggest the existence of multiple Higgses arranged in suitable singlets or multiplets of $SU(3)_L$ and $SU(3)_c$.

hep-ph↗

arXiv2015

A purely quark Lagrangian from QCD

We present a method for determining a purely quark Lagrangian by mocking up the QCD partition function for large gauge couplings $g$. The resulting effective theory displays all the symmetries of low energy QCD and can be potentially used to explore hadron properties.

hep-ph↗

arXiv2015

A nonperturbative method for QCD

Based on specific properties of the partition function and of the quantum correlators we derive the exact form of the beta function in the background gauge field method for QCD with an arbitrary number of flavors. The all order beta function we obtain through this method has only the first two orders coefficients different than zero and thus is equivalent to the 't Hooft scheme.

hep-ph↗

arXiv2015

How important is $iε$ in QFT?

We discuss the role of $iε$ in quantum field theories and suggest that it can be identified with the dimensional regularization parameter $iε=4-d$ thus clarifying and simplifying issues related to the infrared divergences without altering any of the present knowledge in QFT. We further present the relevance of this assumption for the optical theorem.

hep-ph↗

arXiv2015

A nonperturbative method for the Yang Mills Lagrangian

Using the properties of the partition function for a Yang Mills theory we compute simple relations among the renormalization constants. In the particular case of the background gauge field method we obtain that the all orders beta function for the gauge coupling constant contains only the first two orders coefficients different than zero and thus corresponds to the 't Hooft scheme.

hep-ph↗

arXiv2015

$Φ^4$ theory is trivial

We prove that the $Φ^4$ theory is trivial for any values of the bare coupling constant $λ$ thus extending previous results referring to very strong couplings to the full range of values for this parameter. The method is based on all order properties of the partition and two point functions in the path integral formalism.

hep-ph↗

arXiv2015

A nonperturbative method for the scalar field theory

We compute an all order correction to the scalar mass in the Φ^4 theory using a new method of functional integration adjusted also to the large couplings regime.

hep-ph↗

arXiv2014

Why are there three generations of fermions in the standard model?

We show that by decomposing the gauge fields in fermion degrees of freedom and by saturating the remaining degrees of freedom as dynamical fields in the Lagrangian one might explain the proliferation of fermion states in the standard model Lagrangian. Thus the mere presence of the gauge symmetry $U(1)_Y \times SU(2)_L \times SU(3)_c$ is essential.

hep-ph↗

arXiv2014

Tree level relations in a composite electroweak theory

We work out simple tree level relations in a top condensate model with dynamical electroweak symmetry breaking. We find that in this picture the mass of the composite Higgs boson at tree level is given by $m_H^2=\frac{m_t^2}{2}$ where $m_t$ is the mass of the top quark.

hep-ph↗

arXiv2014

A semiclassical approach for the Higgs boson

Starting from the equations of motion of the fields involved in a theory with spontaneous symmetry breaking and by making simple assumptions regarding their behavior we derive simple tree level relations between the mass of the Higgs boson in the theory and the masses of the gauge bosons corresponding to the broken generators. We show that these mass relations have a clear meaning if both the scalars and the gauge bosons are composite states made of two fermions.

hep-ph↗

arXiv2014

Probing scalar mesons in semi-leptonic decays of $D_s^+$, $D^+$ and $D^0$

With the primary motivation of probing the quark substructure of scalar mesons, a generalized linear sigma model for the lowest and the next-to-lowest scalar and pseudoscalar mesons is employed to investigate several semi-leptonic decays of $D$ mesons. The free parameters of the model (in its leading approximation) have been previously determined from fits to mass spectra and various low-energy parameters. With these fixed parameters, the model has already given encouraging predictions for different low-energy decays and scattering, as well as for semileptonic decay channels of $D_s^+$ that include a scalar meson in the final state. In the present work, we apply the same model (in its leading order with the same fixed parameters) to different semi-leptonic decay channels of $D_s^+$, $D^+$ and $D^0$ and thereby further test the model and its predictions for the quark substructure of scalar mesons. We find that these predictions are in reasonable agreement with experiment.

hep-ph↗

arXiv2014

A semi perturbative method for QED

We compute the QED beta function using a new method of functional integration. It turns out that in this procedure the beta function contains only the first two orders coefficients and thus corresponds to a new renormalization scheme, long time supposed to exist.

hep-th↗

arXiv2014

A hint of a strong supersymmetric standard model

We discuss the supersymmetric standard model from the perspective that the up and down Higgs supermultiplets are composite states. We show that a Higgs multiplet in which the scalar states are bound states of two squarks and the corresponding Higgsinos are bound states of a quark and an squark has the correct supersymmetry transformations and may lead to an alternative model which displays dynamical symmetry breaking. We describe this model through an effective Higgs potential which by itself may lead to the correct mass of 125.9 GeV for the lightest Higgs boson and to other neutral scalar masses respecting the experimental constraints.

hep-ph↗

arXiv2014

A hierarchy of the quark masses in a top condensate model with multiple Higgses

We discuss the quark masses in a top condensate model where not only two quark but also four quark composite states may exist. We show that the presence of the top color group SU(3)_1\times SU(3)_2 with the correct non anomalous quark representations can justify even in the absence of additional technicolor interactions a hierarchy of the quark masses where the light quark masses have the same size, the charm and bottom masses are higher and similar and the top is the heaviest.

hep-ph↗