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Tagged with renormalization quantum-spin
5
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Scaling equation for the external field H in an Ising like system [closed]
i want to show that the following relation is true for the external field H, starting from the scaling form of the free energy. It is an Ising like System close to a critical point with $M \geq 0$ and ...
2
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How does spin $j$ matter contribute to the running of the gauge coupling?
The one-loop beta function $\beta(g)$ for the gauge coupling $g$ with gauge group $G=SU(N_c)$, in a theory with $n_f$ spin-1/2 fermions in a representation $R_f$ of $G$, and $n_s$ complex scalars in a ...
5
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Why can a renormalizable quantum field theory only include spin 0, 1/2 and 1 fields?
Hitoshi Murayama writes in his 221A Lecture Notes on Spin
How do we choose spin when you introduce a field, then? A consistent ( i.e. , renormalizable) quantum field theory can include only spin 0, ...
2
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Why does the renormalizable theory have only those particles with helicity less than or equal to 1?
Let the helicity operator be $$\frac{P \cdot J}{P^0}$$ with an eigenvalue $\lambda$. Then why do renormalizable theories have $|\lambda| \le 1?$ (in general dimensions or in 4D?)
Also, what is the ...
6
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Scaling with the Ising Model
I am stuck with one formula in the CFT book by Di Francesco and al. Chapter 3. Equation 3.46 third step, for those who don't have the book, he integrates out degrees of freedom from the Ising Model by ...