All Questions
5
questions
7
votes
1
answer
327
views
Does a CFT need a UV regulator?
I have a very basic question about conformal field theory: Does the partition function need a UV regulator, or is it finite even without? That is, does $\int D\phi \exp(-S)$ converge, or do we need to ...
- 1,455
3
votes
0
answers
159
views
Wouldn't a simple scalar field fix the non-renormalizability of gravity?
It is well known that quadratic gravity is renormalizable. On the other hand it is possible to transform the partition function of Einstein-Hilbert + free minimally coupled complex scalar field into a ...
- 2,613
3
votes
3
answers
190
views
Perturbative expansion and self-contractions in functional integral
Consider a one-dimensional integral
$$I(g)=\int dx\, e^{-x^2-gx^4}$$
One can formally expand it perturbatively order by order in $g$ so that
$$I(g)=\left<1\right>-g\left<x^4\right>+\frac{g^...
- 1,586
6
votes
1
answer
155
views
Obstruction in calculating $\mathcal{Z}_{\mathcal{N}=1}$ SYM partition function
Seiberg and Witten and Nekrasov managed to completely find the exact partition function of the $\mathcal{N}=2$ SYM theory on $\mathbb{R}^4$. As in $\mathcal{N}=2$ in $\mathcal{N}=1$ the NSZV (Novikov-...
- 2,188
1
vote
1
answer
440
views
I am recently reading Srednick's QFT, and I am a little confused with the counterterm Lagrangian
Srednicki treated
$$
\begin{aligned}
L_{0}&=-\frac{1}{2}\partial_{\mu}\phi\partial^{\mu}\phi-\frac{1}{2}m^{2}\phi^2\\
L_{1}&=\frac{1}{6}Z_{g}g\phi^3+L_\text{counterterm}\\
L_\text{counterterm}&...
- 99