scholarly journals Geometry of multisymplectic Hamiltonian first-order field theories

2000 ◽  
Vol 41 (11) ◽  
pp. 7402-7444 ◽  
Author(s):  
Arturo Echeverria-Enrı́quez ◽  
Miguel C. Muñoz-Lecanda ◽  
Narciso Román-Roy
Keyword(s):  
Field Theories ◽  
First Order

scholarly journals Routh reduction for first-order Lagrangian field theories

2018 ◽  
Vol 109 (6) ◽  
pp. 1343-1376
Author(s):  
Santiago Capriotti ◽  
Eduardo García-Toraño Andrés
Keyword(s):  
Field Theories ◽  
First Order ◽  
Routh Reduction

scholarly journals A geometrical analysis of the field equations in field theory

2002 ◽  
Vol 29 (12) ◽  
pp. 687-699 ◽  
Author(s):  
A. Echeverría-Enríquez ◽  
M. C. Muñoz-Lecanda ◽  
N. Román-Roy
Keyword(s):  
Field Theory ◽  
Classical Field ◽  
Field Theories ◽  
Geometrical Analysis ◽  
Field Equations ◽  
First Order ◽  
Nonuniqueness Of Solutions ◽  
Lagrangian And Hamiltonian Formalisms ◽  
Classical Field Theories ◽  
Geometric Formulation

We give a geometric formulation of the field equations in the Lagrangian and Hamiltonian formalisms of classical field theories (of first order) in terms of multivector fields. This formulation enables us to discuss the existence and nonuniqueness of solutions of these equations, as well as their integrability.

Vector-tensor field theories and the Einstein-Maxwell field equations

1974 ◽  
Vol 341 (1626) ◽  
pp. 285-297 ◽  
Keyword(s):  
Dimensional Space ◽  
Field Theories ◽  
Maxwell Field ◽  
Einstein Field Equations ◽  
Field Equations ◽  
Lagrange Equations ◽  
Third Order ◽  
Metric Tensor ◽  
First Order ◽  
First Derivative

The Euler-Lagrange equations corresponding to a Lagrange density which is a function of the metric tensor g ij and its first two derivatives together with the first derivative of a vector field ψ i are investigated. In general, the Euler-Lagrange equations obtained by variation of g ij are of fourth order in g ij and third order in ψ i . It is shown that in a four dimensional space the only Euler-Lagrange equations which are of second order in g ij and first order in ψ i are the Einstein field equations (with an energy-momentum term). Various conditions are obtained under which the Einstein-Maxwell field equations are then an inevitable consequence.

scholarly journals Logarithmic expansion of field theories: higher orders and resummations

2021 ◽  
Vol 81 (6) ◽  
Author(s):  
Vincenzo Branchina ◽  
Alberto Chiavetta ◽  
Filippo Contino
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Finite Order ◽  
Weak Coupling ◽  
Field Theories ◽  
Quantum Field ◽  
First Order ◽  
Free Theory ◽  
Formal Expansion ◽  
The Way

AbstractA formal expansion for the Green’s functions of a quantum field theory in a parameter $$\delta $$ δ that encodes the “distance” between the interacting and the corresponding free theory was introduced in the late 1980s (and recently reconsidered in connection with non-hermitian theories), and the first order in $$\delta $$ δ was calculated. In this paper we study the $${\mathcal {O}}(\delta ^2)$$ O ( δ 2 ) systematically, and also push the analysis to higher orders. We find that at each finite order in $$\delta $$ δ the theory is non-interacting: sensible physical results are obtained only resorting to resummations. We then perform the resummation of UV leading and subleading diagrams, getting the $${\mathcal {O}}(g)$$ O ( g ) and $${\mathcal {O}}(g^2)$$ O ( g 2 ) weak-coupling results. In this manner we establish a bridge between the two expansions, provide a powerful and unique test of the logarithmic expansion, and pave the way for further studies.

On the Decomposition of Spinor Fields which satisfy a Nonlinear Higher Order Equation

1983 ◽  
Vol 38 (12) ◽  
pp. 1293-1295
Author(s):  
D. Großer
Keyword(s):  
Field Theory ◽  
Higher Order ◽  
Order Equation ◽  
Field Theories ◽  
First Order ◽  
Spinor Fields ◽  
Fermion Fields ◽  
Higher Derivatives ◽  
Derivatives Of ◽  
Higher Order Equation

Abstract A field theory which is based entirely on fermion fields is non-renormalizable if the kinetic energy contains only derivatives of first order and therefore higher derivatives have to be included. Such field theories may be useful for describing preons and their interaction. In this note we show that a spinor field which satisfies a higher order field equation with an arbitrary nonlinear selfinteraction can be written as a sum of fields which satisfy first order equations.

scholarly journals Broken Lifshitz Invariance, Spin Waves, and Hydrodynamics

2019 ◽  
Vol 2019 ◽  
pp. 1-12
Author(s):  
Dibakar Roychowdhury
Keyword(s):  
Spin Waves ◽  
Quantum Criticality ◽  
Field Theories ◽  
Local Entropy ◽  
Derivative Expansion ◽  
Hydrodynamic Description ◽  
Basic Principles ◽  
First Order ◽  
Dissipative Effects ◽  
Entropy Current

In this paper, based on the basic principles of thermodynamics, we explore the hydrodynamic regime of interacting Lifshitz field theories in the presence of broken rotational invariance. We compute the entropy current and discover new dissipative effects which are consistent with the principle of local entropy production in the fluid. In our analysis, we consider both the parity even and the parity odd sector upto first order in the derivative expansion. Finally, we argue that the present construction of the paper could be systematically identified as that of the hydrodynamic description associated with spin waves (away from the domain of quantum criticality) under certain limiting conditions.

scholarly journals Lagrangian constraint analysis of first-order classical field theories with an application to gravity

2020 ◽  
Vol 102 (6) ◽  
Author(s):  
Verónica Errasti Díez ◽  
Markus Maier ◽  
Julio A. Méndez-Zavaleta ◽  
Mojtaba Taslimi Tehrani
Keyword(s):  
Classical Field ◽  
Field Theories ◽  
First Order ◽  
Constraint Analysis ◽  
Classical Field Theories

scholarly journals On the multisymplectic formalism for first order field theories

1991 ◽  
Vol 1 (4) ◽  
pp. 345-374 ◽  
Author(s):  
J.F. Cariñena ◽  
M. Crampin ◽  
L.A. Ibort
Keyword(s):  
Field Theories ◽  
First Order

scholarly journals The classical geometrization of the electromagnetism

2015 ◽  
Vol 12 (09) ◽  
pp. 1560022 ◽  
Author(s):  
Celso de Araujo Duarte
Keyword(s):  
General Relativity ◽  
Magnetic Monopoles ◽  
Electromagnetic Theory ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Unified Theory ◽  
Quantum Field ◽  
Order Of Approximation ◽  
First Order ◽  
The 19Th Century

Following the line of the history, if by one side the electromagnetic theory was consolidated on the 19th century, the emergence of the special and the general relativity theories on the 20th century opened possibilities of further developments, with the search for the unification of the gravitation and the electromagnetism on a single unified theory. Some attempts to the geometrization of the electromagnetism emerged in this context, where these first models resided strictly on a classical basis. Posteriorly, they were followed by more complete and embracing quantum field theories. The present work reconsiders the classical viewpoint, with the purpose of showing that at first-order of approximation the electromagnetism constitutes a geometric structure aside other phenomena as gravitation, and that magnetic monopoles do not exist at least up to this order of approximation. Even though being limited, the model is consistent and offers the possibility of an experimental test of validity.

scholarly journals First order gauge field theories from a superfield formulation

2002 ◽  
Vol 2002 (09) ◽  
pp. 036-036 ◽  
Author(s):  
Ludde Edgren ◽  
Niclas Sandström
Keyword(s):  
Gauge Field ◽  
Gauge Field Theories ◽  
Field Theories ◽  
First Order
Sign in / Sign up

Export Citation Format

Share Document