Non-linear field theories

PG Bergmann - Physical Review, 1949 - APS
This is the first paper in a program concerned with the quantization of field theories which
are covariant with respect to general coordinate transformations, like the general theory of …

Non-linear field theories II. Canonical equations and quantization

PG Bergmann, JHM Brunings - Reviews of Modern Physics, 1949 - APS
In this paper, a covariant field theory of the general type of the theory of relativity is brought
into the canonical form and then quantized. Particles are assumed to be represented as …

Canonical variables for general relativity

R Arnowitt, S Deser, CW Misner - Physical Review, 1960 - APS
The general theory of relativity is cast into normal Hamiltonian form in terms of two pairs of
independent conjugate field variables. These variables are explicitly exhibited and obey …

On the quantization of the new field equations I

M Born, L Infeld - Proceedings of the Royal Society of …, 1934 - royalsocietypublishing.org
The new field theory has been developed in two papers. The first, quoted as I, contains not
only a classical treatment, but also an attempt at quantization; the second, quoted as II, a …

Classical and quantum field theories in the Lagrangian formalism

PG Bergmann, R Schiller - Physical Review, 1953 - APS
In this paper, we have first examined the relationship between the transformation properties
of a (nonquantum) covariant field theory and its constraints, generating functionals …

Constraints in covariant field theories

JL Anderson, PG Bergmann - Physical Review, 1951 - APS
In this paper we have considered certain problems which arise when one attempts to cast a
covariant field theory into a canonical form. Because of the invariance properties of the …

Covariant conservation laws in general relativity

A Komar - Physical Review, 1959 - APS
A set of covariant conservation laws is constructed in the general theory of relativity. Their
relationship to the generators of infinitesimal coordinate transformations is indicated. In a …

Some new conservation laws

D Finkelstein, CW Misner - Annals of Physics, 1959 - Elsevier
It is shown that field theories possessing a certain type of nonlinearity, termed intrinsic, also
possess a new type of conservation law in which the conserved quantity is an integer even …

Stationary states of scalar and vector fields

H Snyder, J Weinberg - Physical Review, 1940 - APS
In the presence of an electrostatic field (but not for a static world scalar or magnetostatic
field) the stationary solutions of the quadratic relativistic wave equation for scalar particles …

General relativity and the divergence problem in quantum field theory

S Deser - Reviews of Modern Physics, 1957 - APS
'POSSIBLE physical consequences of general relativity for the elementary particle problem
have usually been assumed to be negligible, due to the weakness of the gravitational …