## 851 Citations

### Gauge invariance of the background average effective action

- PhysicsThe European Physical Journal C
- 2019

Using the background field method for the functional renormalization group approach in the case of a generic gauge theory, we study the background field symmetry and gauge dependence of the…

### On the background field method beyond one loop: a manifestly covariant derivative expansion in super Yang-Mills theories

- Physics
- 2003

There are currently many string inspired conjectures about the structure of the low-energy effective action for super Yang-Mills theories which require explicit multi-loop calculations. In this…

### Renormalization of six-dimensional Yang-Mills theory in a background gauge field

- PhysicsPhysical Review D
- 2019

Using the background field method, we study in a general covariant gauge the renormalization of the 6-dimensional Yang-Mills theory. This requires background gauge invariant counterterms, some of…

### Multiplicative Renormalizability of Yang-Mills Theory with the Background Field Method in the BV Formalism

- PhysicsTheoretical and Mathematical Physics
- 2020

Studying the gauge-invariant renormalizability of four-dimensional Yang-Mills theory using the background field method and the BV formalism, we derive a classical master equation homogeneous with…

### First order formulation of the Yang–Mills theory in a background field

- PhysicsAnnals of Physics
- 2019

### Multiplicative renormalization of Yang–Mills theories in the background-field formalism

- PhysicsThe European Physical Journal C
- 2018

In the paper, within the background field method, the structure of renormalizations is studied as for Yang–Mills fields interacting with a multiplet of spinor fields. By extending the Faddeev–Popov…

## References

SHOWING 1-10 OF 26 REFERENCES

### Reliable Perturbative Results for Strong Interactions

- Physics
- 1973

An explicit calculation shows perturbation theory to be arbitrarily good for the deep Euclidean Green's functions of any Yang-Mills theory and of many Yang-Mills theories with fermions. Under the…

### Asymptotic Behavior of Non-Abelian Gauge Theories to Two-Loop Order

- Physics
- 1974

We have calculated the value of the Callan-Symanzik β function to order g5 for non-Abelian gauge theories with fermions. We discuss internal consistency of the calculation, and consider the approach…

### Gauge dependence of the effective action

- Physics
- 1981

The gauge dependence of the effective action of quantum non-Abelian gauge theories is studied. An alternative effective action is proposed and its equivalence with the usual effective action is…