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6 questions with no upvoted or accepted answers
6 votes
0 answers
362 views

Conformal anomaly of free scalar in 2D

I'm trying to calculate the conformal anomaly $c$ of a free scalar on a 2-sphere. I've seen other, indirect ways to do this, but since this is a free theory I feel like it should be possible to see ...
user6013's user avatar
  • 913
4 votes
0 answers
132 views

Normalization of zero point energy in string theory

Following Joe Polchinski’s Little Book of String, page 12, he use the sum $$1+2+3+...=-1/12$$ to find the zero point energy of the bosonic string (and later used the result to argue that we must have ...
ziv's user avatar
  • 1,734
2 votes
0 answers
144 views

Anomalies from a Renormaization Group Equation (RGE)

This is an approach to anomalies which seems unfamiliar to me.. Firstly what is this function $W$ which seems to satisfy the equation, $\frac{\partial W }{\partial g^{\mu \nu} } = \langle T_{\mu \nu}...
Student's user avatar
  • 4,561
1 vote
0 answers
64 views

Reference request scale anomaly

Can anyone recommend some books, notes and review-oriented papers on scale anomaly, with a view towards its relation to renormalization? Such as an anomaly perspective on RG, Callan-Symanzik equations ...
1 vote
0 answers
125 views

Trying to derive chiral anomaly in 2D from Feynman diagrams in position space

Trying to understand the Chiral anomaly, I decided to explore the simplest example of a holomorphic fermion in 2D in a background electromagnetic field $A\text{d}z+\bar{A}\text{d}\bar{z}$. The ...
Ivan Burbano's user avatar
  • 3,915
1 vote
0 answers
172 views

$Z_1=Z_2$ without Ward-Takahashi identity?

In the renormalization of QED, the way that $Z_1=Z_2$ is treated e.g. in Schwartz is by first giving a simple "heuristic argument" based on gauge invariance (in the beginning of section 19.5) before ...
Joris's user avatar
  • 121