Worldline Path Integrals for Gauge Fields and Quantum Computing
arXiv:2106.01398
Abstract
We study different aspects the worldline path integrals with gauge fields using quantum computing. We use the Variational Quantum Eigensolver (VQE) and Evolution of Hamiltonian (EOH) quantum algorithms and IBM QISKit to perform our computations. We apply these methods to the path integral of a particle moving in a Abelian and non-Abelian background gauge field associated with a constant magnetic field and the field of a chromo-magnetic field. In all cases we found excellent agreement with the classical computation. We also discuss the insertion of vertex operators into the worldline path integrals to study scattering and show how to represent them using unitary operators and quantum gates on near term quantum computers.
arXiv commentadded references
References in corpus (20)
- Perturbative Quantum Field Theory in the String-Inspired Formalism
- Heisenberg-Euler Effective Lagrangians : Basics and Extensions
- Constant External Fields in Gauge Theory and the Spin 0, 1/2, 1 Path Integrals
- Fuzzy Bags and Wilson Lines
- Quantum diffusion of magnetic fields in a numerical worldline approach
- Gravitational corrections to the Euler-Heisenberg Lagrangian
- An all-loop result for the strong magnetic field limit of the Heisenberg-Euler effective Lagrangian
- Quantum mechanical path integrals in the first quantised approach to quantum field theory
- Scalar heat kernel with boundary in the worldline formalism
- Two-loop Yang-Mills theory in the world-line formalism and an Euler-Heisenberg type action
- Mixed symmetry Wilson-loop interactions in the worldline formalism
- Propagator from Nonperturbative Worldline Dynamics
- Computing real time correlation functions on a hybrid classical/quantum computer
- SV-map between Type I and Heterotic Sigma Models
- Integral transforms of the quantum mechanical path integral: hit function and path averaged potential
- Perturbative Computation of the Gluonic Effective Action via Polyaokov's World-Line Path Integral
- Simplified path integral for supersymmetric quantum mechanics and type-A trace anomalies
- Worldline Approach to Chiral Fermions
- Non-existence theorems and solutions of the Wu-Yang monopole equation
- Revisiting the Wu-Yang Monopole: classical solutions and conformal invariance