activity
20232026
most citedQuantum mechanics and quantum field theory. Algebraic and geometric approaches

1 citations · 1 across the 6 of their papers we have counts for

collaborators

7 papers

hep-th2026

Infrared Problem in Quantum Electrodynamics

Igor Frolov, Albert Schwarz

It is well known that the inclusive cross section in QED is infrared finite. In the standard diagram techniques this result follows from cancellation of infrared divergences. We su…

hep-th2026

Geometric Approach to Quantum Theory. L-functionals

Albert Schwarz

This publication consists of slides from my talk at the Simons Center for Geometry and Physics in 2024. It contains a brief review of the L-functional formalism, along with a discu…

quant-ph2025

Quantum theory from classical mechanics near equilibrium

Albert Schwarz

We consider classical theories described by Hamiltonians that have a non-degenerate minimum at the point where generalized momenta and generalized coordinates vani…

quant-ph2024

Adiabatic definitions of scattering matrix and inclusive scattering matrix

Albert Schwarz

The main goal of present paper is to analyze the adiabatic definition of scattering matrix in the formalism of L-functionals. This definition leads to the notion of inclusive scatt…

hep-th2023

A new approach to superstring

Albert Schwarz

We show how starting with one-string space of states in BRST formalism one can construct a large class of physical quantities containing, in particular, scattering amplitudes for b…

hep-th2023

A new approach to string theory

Albert Schwarz

In the present paper we consider quantum theories obtained by quantization of classical theories with first-class constraints assuming that these constraints form a Lie algebra. We…

quant-ph2023★ 1 cited

Quantum mechanics and quantum field theory. Algebraic and geometric approaches

Igor Frolov, Albert Schwarz

This is a non-standard exposition of the main notions of quantum mechanics and quantum field theory including some recent results. It is based on the algebraic approach where the s…