# Symmetry principle preserving and infinity free regularization and renormalization of quantum field theories and the mass gap

@article{Wu2002SymmetryPP, title={Symmetry principle preserving and infinity free regularization and renormalization of quantum field theories and the mass gap}, author={Yue-Liang Wu}, journal={International Journal of Modern Physics A}, year={2002}, volume={18}, pages={5363-5419} }

Through defining irreducible loop integrals (ILI's), a set of consistency conditions for the regularized (quadratically and logarithmically) divergent ILI's are obtained to maintain the generalized Ward identities of gauge invariance in non-Abelian gauge theories. The ILI's of arbitrary loop graphs can be evaluated from the corresponding Feynman loop integrals by adopting an ultraviolet (UV) divergence preserving parameter method. Overlapping UV divergences are explicitly shown to be…

## 36 Citations

### Symmetry preserving loop regularization and renormalization of QFTs

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All one-loop renormalization constants for non-Abelian gauge theory are computed in detail by using the symmetry-preserving loop regularization method proposed in Refs. 1 and 2. The resulting…

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- 2005

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A Lorentz and gauge symmetry preserving regularization method is proposed in 4 dimensions based on a momentum cutoff. We use the conditions of gauge invariance or equivalently the freedom to shift…

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### Quadratic contributions of softly broken supersymmetry in the light of loop regularization

- PhysicsThe European Physical Journal C
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## References

SHOWING 1-10 OF 75 REFERENCES

### Higher covariant derivative Pauli-Villars r egularization does not lead to a consistent QCD

- Mathematics
- 1995

### On gauge invariance and vacuum polarization

- Physics
- 1951

This paper is based on the elementary remark that the extraction of gauge invariant results from a formally gauge invariant theory is ensured if one employs methods of solution that involve only…

### An Introduction To Quantum Field Theory

- Physics
- 1995

Feynman Diagrams and Quantum Electrodynamics * Invitation: Pair Production in e+e- Annihilation * The Klein-Gordon Field * The Dirac Field * Interacting Fields and Feynman Diagrams * Elementary…

### On the Invariant regularization in relativistic quantum theory

- Mathematics
- 1949

The formal method of regularization of mathematical expressions of sums of products of different types of $\ensuremath{\delta}$-functions is first applied to the example of vacuum polarization. It is…

### QUANTUM THEORY OF GRAVITY. II. THE MANIFESTLY COVARIANT THEORY.

- Physics
- 1967

Contrary to the situation which holds for the canonical theory described in the first paper of this series, there exists at present no tractable pure operator language on which to base a manifestly…

### High-Energy Behavior in Quantum Field Theory

- Mathematics
- 1960

An attack is made on the problem of determining the asymptotic behavior at high energies and momenta of the Green's functions of quantum field theory, using new mathematical methods from the theory…

### Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. II

- Physics
- 1961

It is suggested that the nucleon mass arises largely as a self-energy of some primary fermion field through the same mechanism as the appearance of energy gap in the theory of superconductivity. The…

### Regularization in the gauged Nambu-Jona-Lasinio model.

- PhysicsPhysical review. D, Particles and fields
- 1994

It is shown that one can use dispersion relations to regulate the top-quark condensate model and this prescription maintains gauge invariance and does not depend on arbitrary shifts in loop momenta.