scholarly journals On the notion of gauge symmetries of generic Lagrangian field theory

2009 ◽  
Vol 50 (1) ◽  
pp. 012903 ◽  
Author(s):  
G. Giachetta ◽  
L. Mangiarotti ◽  
G. Sardanashvily
Keyword(s):  
Field Theory ◽  
Gauge Symmetries ◽  
Lagrangian Field Theory

scholarly journals Non-equilibrium effective field theory and second sound

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Michael J. Landry
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Sound Wave ◽  
Effective Field ◽  
Second Sound ◽  
Gauge Symmetries ◽  
Sound Modes ◽  
State Of Matter ◽  
The Difference ◽  
Non Equilibrium

Abstract We investigate the phenomenon of second sound in various states of matter from the perspective of non-equilibrium effective field theory (EFT). In particular, for each state of matter considered, we find that at least two (though sometimes multiple) qualitatively different EFTs exist at finite temperature such that there is always at least one EFT with a propagating second-sound wave and at least one with no such second-sound wave. To aid in the construction of these EFTs, we use the method of cosets developed for non-equilibrium systems. It turns out that the difference between the EFTs with and without second-sound modes can be understood as arising from different choices of a new kind of inverse Higgs constraint. Finally, we demonstrate that it is possible to bypass the need for new inverse Higgs constraints by formulating EFTs on a new kind of manifold that is like the usual fluid worldvolume, but with reduced gauge symmetries.

Modifications of Lagrangian Field Theory

1994 ◽  
pp. 147-160
Author(s):  
Myron Evans ◽  
Jean-Pierre Vigier
Keyword(s):  
Field Theory ◽  
Lagrangian Field Theory

Classical Gauge Field Theory

2020 ◽  
pp. 71-92
Author(s):  
Daniel Canarutto
Keyword(s):  
Field Theory ◽  
Gauge Field ◽  
Gauge Field Theory ◽  
Jet Bundle ◽  
Jet Bundles ◽  
Affine Bundle ◽  
Lagrangian Field Theory ◽  
Original Approach

After a sketch of Lagrangian field theory on jet bundles, the notion of a gauge field is introduced as a section of an affine bundle which is naturally constructed without any involvement with structure groups. An original approach to gauge field theory in terms of covariant differentials (alternative to the jet bundle approach) is then developed, and the adaptations needed in order to deal with general theories are laid out. A careful exposition of the replacement principle allows comparisons with approaches commonly found in the literature.

scholarly journals COMMENTS ON REGULARIZATION AMBIGUITIES AND LOCAL GAUGE SYMMETRIES

2005 ◽  
Vol 20 (25) ◽  
pp. 1933-1938 ◽  
Author(s):  
R. CASANA ◽  
B. M. PIMENTEL
Keyword(s):  
Field Theory ◽  
Gauge Symmetry ◽  
Quantum Level ◽  
Local Gauge ◽  
Gauge Symmetries ◽  
Local Gauge Symmetry ◽  
Coupling Parameters

We study the regularization ambiguities in an exact renormalized (1 +1)-dimensional field theory. We show a relation between the regularization ambiguities and the coupling parameters of the theory as well as their role in the implementation of a local gauge symmetry at quantum level.

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