scholarly journals A renormalizable theory of leptons with intrinsic symmetry break-down

1975 ◽  
Vol 13 (15) ◽  
pp. 557-560 ◽  
Author(s):  
J. P. Hsu ◽  
E. C. G. Sudarshan
Keyword(s):  
Intrinsic Symmetry ◽  
Renormalizable Theory ◽  
Symmetry Break

scholarly journals A note on gauge anomaly cancellation in effective field theories

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Ferruccio Feruglio
Keyword(s):  
Effective Field Theories ◽  
Effective Field ◽  
Field Theories ◽  
Anomaly Cancellation ◽  
Charge Assignment ◽  
The Standard Model ◽  
Renormalizable Theory ◽  
Complete Set ◽  
Gauge Anomalies ◽  
Gauge Anomaly

Abstract The conditions for the absence of gauge anomalies in effective field theories (EFT) are rivisited. General results from the cohomology of the BRST operator do not prevent potential anomalies arising from the non-renormalizable sector, when the gauge group is not semi-simple, like in the Standard Model EFT (SMEFT). By considering a simple explicit model that mimics the SMEFT properties, we compute the anomaly in the regularized theory, including a complete set of dimension six operators. We show that the dependence of the anomaly on the non-renormalizable part can be removed by adding a local counterterm to the theory. As a result the condition for gauge anomaly cancellation is completely controlled by the charge assignment of the fermion sector, as in the renormalizable theory.

scholarly journals Standard model and graviweak unification with (super)renormalizable gravity. Part I: Visible and invisible sectors of the universe

2015 ◽  
Vol 30 (09) ◽  
pp. 1550044 ◽  
Author(s):  
L. V. Laperashvili ◽  
H. B. Nielsen ◽  
A. Tureanu
Keyword(s):  
Standard Model ◽  
Quantum Gravity ◽  
Consistent Theory ◽  
Invariant Model ◽  
Higher Derivative ◽  
Self Consistent ◽  
Renormalizable Theory ◽  
Theory Of Gravity ◽  
Higgs Fields ◽  
The Universe

We develop a self-consistent Spin (4, 4)-invariant model of the unification of gravity with weak SU(2) gauge and Higgs fields in the visible and invisible sectors of our universe. We consider a general case of the graviweak unification, including the higher-derivative super-renormalizable theory of gravity, which is a unitary, asymptotically-free and perturbatively consistent theory of the quantum gravity.

scholarly journals Symmetry-Break in Voronoi Tessellations

Symmetry ◽  
2009 ◽  
Vol 1 (1) ◽  
pp. 21-54 ◽  
Author(s):  
Valerio Lucarini
Keyword(s):  
Voronoi Tessellations ◽  
Symmetry Break

Spectral Global Intrinsic Symmetry Invariant Functions

2020 ◽  
pp. 209-215
Author(s):  
Hui Wang ◽  
Patricio Simari ◽  
Zhixun Su ◽  
Hao Zhang
Keyword(s):  
Invariant Functions ◽  
Intrinsic Symmetry

scholarly journals Symmetrical Current and Massive Gauge Bosons in SM4

2020 ◽  
Author(s):  
Aayush Verma
Keyword(s):  
Fourth Generation ◽  
Gauge Bosons ◽  
Symmetry Break

This note will be brief attention to an unknown current in SM4 Field based on disintegrating the Lagrangian of quarks in SM4 into four parts. It is shown that the current breaks while interacting with the quarks and makes the quarks to not interact with fourth-generation quarks. This note also shows that gauge bosons are produced while these currents symmetry break and provides the service as mediators.

Introduction to renormalization theory and renormalization group (RG)

2021 ◽  
pp. 185-219
Author(s):  
Jean Zinn-Justin
Keyword(s):  
Field Theory ◽  
Renormalization Group ◽  
Short Distance ◽  
Large Scale ◽  
Relativistic Quantum ◽  
Power Counting ◽  
Fine Tuning ◽  
Quantum Field ◽  
Renormalizable Theory ◽  
Renormalization Theory

A straightforward construction of a local, relativistic quantum field theory (QFT) leads to ultraviolet (UV) divergences and a QFT has to be regularized by modifying its short-distance or large energy momentum structure (momentum regularization is often used in this work). Since such a modification is somewhat arbitrary, it is necessary to verify that the resulting large-scale predictions are, at least to a large extent, short-distance insensitive. Such a verification relies on the renormalization theory and the corresponding renormalization group (RG). In this chapter, the essential steps of a proof of the perturbative renormalizability of the scalar φ4 QFT in dimension 4 are described. All the basic difficulties of renormalization theory, based on power counting, are already present in this simple example. The elegant presentation of Callan is followed, which makes it possible to prove renormalizability and RG equations (in Callan–Symanzik's (CS) form) simultaneously. The background of the discussion is effective QFT and emergent renormalizable theory. The concept of fine tuning and the issue of triviality are emphasized.

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