A bstract Previous work has explored the connections between three concepts — operator size, complexity, and bulk radial momentum of an infalling object in context JT gravity SYK model. In this paper we investigate higher dimensional generalizations these connections. We use a toy model to study growth when perturbing vacuum CFT. From circuit analysis relate rate increase complexity check it by...

Peculiar velocities induce apparent line of sight displacements of galaxies in redshift space, distorting the pattern of clustering. On large scales, the amplitude of the distortion yields a measure of the dimensionless linear growth rate β ≈ Ω/b of fluctuations, where Ω if the cosmological density and b is the bias factor. To make the maximum statistical use of the data in a wide-angle redshif...

A general procedure for constructing conserved electromagnetic current operators, for both finite and infinite degree of freedom systems, is given. A four-momentum operator consisting of matter, photon, and electromagnetic interactions is assumed to be polynomial in photon creation and annihilation operators. Commutators of the four-momentum operator with the four-vector potential operator at t...

We study the chromodynamical gauge symmetry in relation to the internal spin structure of the nucleon. We show that 1) even in the helicity eigenstates the gauge-dependent spin and orbital angular momentum operators do not have gauge-independent matrix element; 2) the evolution equations for the gluon spin take very different forms in the Feynman and axial gauges, but yield the same leading beh...

It has been recently shown [M. Robnik and L. Salasnich, J. Phys. A: Math. Gen., 30, 1719 (1997)] that the WKB series for the quantization of angular momentum L converges to the exact value L = h̄l(l + 1), if summed over all orders, and gives the Langer formula L = h̄(l + 1/2) at the leading order. In this work we solve the eigenvalue problem of the angular momentum operator by using the supersymm...

Relations between two definitions of (total) angular momentum operator, as a generator of rotations and in the Lagrangian formalism, are explored in quantum field theory. Generally, these definitions result in different angular momentum operators, which are suitable for different purposes in the theory. From the spin and orbital angular momentum operators (in the Lagrangian formalism) are extra...

It is proven that if more than a single magnetic charge exists it is impossible to define a proper quantum mechanical angular momentum operator for an electrically charged particle in the field of the magnetic charges. Assuming that quantum mechanics is correct we conclude that free magnetic charges (i.e. magnetic charges with a Coulomb-like magnetic field) can not exist. The only apparent way ...