Clebsch-Lagrange variational principle and geometric constraint analysis of relativistic field theories

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Applying the variational principle to (1+1) dimensional relativistic quantum field theories

We extend the recently introduced continuous matrix product state (cMPS) variational class to the setting of (1+ 1)-dimensional relativistic quantum field theories. This allows one to overcome the difficulties highlighted by Feynman concerning the variational procedure applied to relativistic theories, and provides a new way to regularize quantum field theories. A fermionic version of the conti...

متن کامل

Clebsch Variational Principles in Field Theories and Singular Solutions of Covariant Epdiff Equations

This paper introduces and studies a field theoretic analogue of the Clebsch variational principle of classical mechanics. This principle yields an alternative derivation of the covariant Euler-Poincaré equations that naturally includes covariant Clebsch variables via multisymplectic momentum maps. In the case of diffeomorphism groups, this approach gives a new interpretation of recently derived...

متن کامل

The d’Alembert-lagrange principle for gradient theories and boundary conditions

Motions of continuous media presenting singularities are associated with phenomena involving shocks, interfaces or material surfaces. The equations representing evolutions of these media are irregular through geometrical manifolds. A unique continuous medium is conceptually simpler than several media with surfaces of singularity. To avoid the surfaces of discontinuity in the theory, we transfor...

متن کامل

Geometric, Variational Discretization of Continuum Theories

This study derives geometric, variational discretizations of continuum theories arising in fluid dynamics, magnetohydrodynamics (MHD), and the dynamics of complex fluids. A central role in these discretizations is played by the geometric formulation of fluid dynamics, which views solutions to the governing equations for perfect fluid flow as geodesics on the group of volume-preserving diffeomor...

متن کامل

Variational Methods for Field Theories

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ..*................... 1 GENERAL INTRODUCTION ~.~O................................*............ 3 Part I: Confinement in Periodic Quantum Electrodynamics for Low Couplings

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Mathematical Physics

سال: 2019

ISSN: 0022-2488,1089-7658

DOI: 10.1063/1.5085764