scholarly journals Geometric Lagrangian approach to the physical degree of freedom count in field theory

2018 ◽  
Vol 59 (5) ◽  
pp. 052901 ◽  
Author(s):  
Bogar Díaz ◽  
Merced Montesinos
Keyword(s):  
Field Theory ◽  
Lagrangian Approach ◽  
Degree Of Freedom ◽  
Physical Degree

scholarly journals Lagrangian approach to the physical degree of freedom count

2014 ◽  
Vol 55 (12) ◽  
pp. 122901 ◽  
Author(s):  
Bogar Díaz ◽  
Daniel Higuita ◽  
Merced Montesinos
Keyword(s):  
Lagrangian Approach ◽  
Degree Of Freedom ◽  
Physical Degree

scholarly journals Smooth functorial field theories from B-fields and D-branes

2021 ◽  
Vol 16 (1) ◽  
pp. 75-153
Author(s):  
Severin Bunk ◽  
Konrad Waldorf
Keyword(s):  
Field Theory ◽  
Sigma Models ◽  
Lagrangian Approach ◽  
Field Theories ◽  
Open Strings ◽  
Homotopy Invariant ◽  
Target Manifold ◽  
Definition Of ◽  
Smooth Map

AbstractIn the Lagrangian approach to 2-dimensional sigma models, B-fields and D-branes contribute topological terms to the action of worldsheets of both open and closed strings. We show that these terms naturally fit into a 2-dimensional, smooth open-closed functorial field theory (FFT) in the sense of Atiyah, Segal, and Stolz–Teichner. We give a detailed construction of this smooth FFT, based on the definition of a suitable smooth bordism category. In this bordism category, all manifolds are equipped with a smooth map to a spacetime target manifold. Further, the object manifolds are allowed to have boundaries; these are the endpoints of open strings stretched between D-branes. The values of our FFT are obtained from the B-field and its D-branes via transgression. Our construction generalises work of Bunke–Turner–Willerton to include open strings. At the same time, it generalises work of Moore–Segal about open-closed TQFTs to include target spaces. We provide a number of further features of our FFT: we show that it depends functorially on the B-field and the D-branes, we show that it is thin homotopy invariant, and we show that it comes equipped with a positive reflection structure in the sense of Freed–Hopkins. Finally, we describe how our construction is related to the classification of open-closed TQFTs obtained by Lauda–Pfeiffer.

Lagrangian approach to infinite component field theory

1968 ◽  
Vol 8 (3) ◽  
pp. 573-590
Author(s):  
H. Watanabe ◽  
S. Kamefuchi
Keyword(s):  
Field Theory ◽  
Lagrangian Approach ◽  
Component Field ◽  
Infinite Component

scholarly journals HIGGS FIELD AS THE GAUGE FIELD CORRESPONDING TO PARITY IN THE USUAL SPACE–TIME

1998 ◽  
Vol 13 (06) ◽  
pp. 465-478 ◽  
Author(s):  
RECAI ERDEM
Keyword(s):  
Field Theory ◽  
Standard Model ◽  
Gauge Field ◽  
Higgs Field ◽  
Space Time ◽  
Degree Of Freedom ◽  
Local Character ◽  
Fifth Dimension ◽  
Local Description ◽  
The Standard Model

We find that the local character of field theory requires the parity degree of freedom of the fields to be considered as an additional discrete fifth dimension which is an artifact emerging due to the local description of space–time. Higgs field can be interpreted as the gauge field corresponding to this discrete dimension. Hence the noncommutative geometric derivation of the standard model follows as a manifestation of the local description of the usual space–time.

scholarly journals Origin of Gauge Theories in Electrodynamics

2021 ◽  
Author(s):  
Jay Solanki
Keyword(s):  
Field Theory ◽  
Electromagnetic Field ◽  
Gauge Theory ◽  
Gauge Invariance ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Gauge Theories ◽  
Degree Of Freedom ◽  
Potential Formulation ◽  
Electromagnetic Field Theory

<div>The potential formulation has significant advantages over field formulation in solving complicated problems in electromagnetic field theory. One essential part of electromagnetic field theory's potential formulation is gauge invariance and gauge theories because it provides an extra degree of freedom. By using this extra degree of freedom, we can solve complicated electromagnetic problems quickly. Thus, it is necessary to include a systematic explanation of gauge theories in teaching electromagnetic theory. However, textbooks usually formulate gauge theories by using Maxwell's equations of electromagnetism, by using vector calculus identities. However, this method of formulation of gauge theories does not give a clear idea about the origin of gauge theories and gauge invariance in electromagnetism. Here the author formulates gauge theories from wave equations of the electric and magnetic fields instead of directly using Maxwell's equations. This method generalizes all gauge theories like Lorenz gauge theory, Coulomb gauge theory, Etc. Gauge theory, because of the way the author derives it, gives a distinct idea about the mathematical origin of the gauge theories and gauge invariance in electromagnetic field theory. Thus, the author reviews the origin of gauge theories in electromagnetic field theory and develops a distinct and effective method to introduce gauge theory in the teaching of electromagnetic field theory that can provide better understanding of the topic to undergraduate students.</div><div><br></div>

STRONG CP PROBLEM AND AN AXIAL U(1) GAUGE SYMMETRY

1993 ◽  
Vol 08 (32) ◽  
pp. 3049-3056
Author(s):  
PONG YOUL PAC ◽  
CHERL SOO PAHK
Keyword(s):  
Scalar Field ◽  
Gauge Symmetry ◽  
Standard Model ◽  
Degree Of Freedom ◽  
New Approach ◽  
The Standard Model ◽  
Massless Quark ◽  
Exact Term ◽  
Physical Degree

We extend the standard model by an axial U(1) gauge symmetry obtained from a rotation parametrized by a scalar field. In quantizing the system, the Peccei-Quinn symmetry is realized by introducing a BRST-exact term, which can provide a new approach to the strong CP problem without assuming a physical degree of freedom like the axion or the massless quark. We can find that the transition between different topological sectors of QCD via physical scattering processes is suppressed.

scholarly journals Versatility of field theory motivated nuclear effective Lagrangian approach

2004 ◽  
Vol 601 (1-2) ◽  
pp. 51-55 ◽  
Author(s):  
P. Arumugam ◽  
B.K. Sharma ◽  
P.K. Sahu ◽  
S.K. Patra ◽  
Tapas Sil ◽  
...  
Keyword(s):  
Field Theory ◽  
Lagrangian Approach ◽  
Effective Lagrangian

scholarly journals Modified Anyonic Particle and Its Fundamental Gauge Symmetries

2020 ◽  
Vol 2020 ◽  
pp. 1-10
Author(s):  
Mehdi Dehghani ◽  
Salman Abarghouei Nejad ◽  
Majid Monemzadeh
Keyword(s):  
Poisson Structure ◽  
Degrees Of Freedom ◽  
Quantum Spin ◽  
Constrained Systems ◽  
Degree Of Freedom ◽  
Particle Model ◽  
Fundamental Symmetries ◽  
Gauge Symmetries ◽  
Physical Degree

In this article, we study the possibility of changing a physical degree of freedom of a particle to its quantum spin after quantization is applied. Our approach to do such a survey is increasing the fundamental symmetries of the anyonic particle model with the help of the symplectic formalism of constrained systems. After extracting the corresponding Poisson structure of all constraints, we compare the effect of gauging on the phase spaces, the number of physical degrees of freedom, canonical structures of both primary and gauged models, and the spin of the anyon, in terms of its energy.

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