# Tadpoles and vacuum bubbles in light-front quantization

@article{Chabysheva2022TadpolesAV, title={Tadpoles and vacuum bubbles in light-front quantization}, author={Sophia S. Chabysheva and John R. Hiller}, journal={Physical Review D}, year={2022} }

We develop a method by which vacuum transitions may be included in light-front calculations. This allows tadpole contributions which are important for symmetry-breaking effects and yet are missing from standard light-front calculations. These transitions also dictate a nontrivial vacuum and contributions from vacuum bubbles to physical states. In nonperturbative calculations these separate classes of contributions (tadpoles and bubbles) cannot be filtered; instead, we regulate the bubbles and…

## One Citation

### Quantum phase transitions in a bidimensional O(N) × ℤ2 scalar field model

- PhysicsJournal of High Energy Physics
- 2022

Abstract
We analyze the possible quantum phase transition patterns occurring within the O(N) × ℤ2 scalar multi-field model at vanishing temperatures in (1 + 1)-dimensions. The physical masses…

## References

SHOWING 1-10 OF 64 REFERENCES

### Nontrivial vacua from equal time to the light cone.

- PhysicsPhysical review. D, Particles and fields
- 1992

This procedure provides a simple treatment for massless fields and nontrivial tests of Lorentz invariance, and may be applied to models, such as that of Gross and Neveu, for which conventional light-cone quantization is difficult to implement.

### Zero momentum modes in discrete light-cone quantization

- Physics
- 2009

We consider the constrained zero modes found in the application of discrete light-cone quantization to the nonperturbative solution of quantum field theories. These modes are usually neglected for…

### Light-front φ 42 theory with sector-dependent mass

- Physics
- 2017

As an extension of recent work on two-dimensional light-front φ 4 theory, we implement Fock-sector dependence for the bare mass. Such dependence should have important consequences for the convergence…

### Lightcone effective Hamiltonians and RG flows

- PhysicsJournal of High Energy Physics
- 2018

A bstractWe present a prescription for an effective lightcone (LC) Hamiltonian that includes the effects of zero modes, focusing on the case of Conformal Field Theories (CFTs) deformed by relevant…

### Spontaneous symmetry breaking of (1+1)-dimensional phi4 theory in light-front field theory.

- PhysicsPhysical review. D, Particles and fields
- 1993

The value of the vacuum expectation value as a function of the coupling constant in the broken phase is calculated both numerically and analytically using the delta expansion and it is shown that the energy levels of the system have the expected behavior within thebroken phase.

### Spontaneous symmetry breaking in discretized light-cone field theory.

- PhysicsPhysical review. D, Particles and fields
- 1993

The problem of spontaneous symmetry breaking in scalar field theories quantized on the light cone is considered and the consistency of the formalism is checked in an explicit perturbative calculation in (1+1)-dimensional ${\ensuremath{\varphi}}^{4}$ theory.

### Hamiltonian truncation study of the $φ^4$ theory in two dimensions

- Physics
- 2015

We defend the Fock-space Hamiltonian truncation method, which allows us to calculate numerically the spectrum of strongly coupled quantum field theories, by putting them in a finite volume and…