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Results tagged with symmetry
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user 105620
Symmetries play a big role in modern physics and have been a source of powerful tools and techniques for understanding theories and their dynamics. We say that something is symmetric if there is some transformation we can perform on that object that leaves some property unchanged. The set of symmetry transformations of an object forms a group, and the name of this group is used as the name of the symmetry of the object.
9
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answer
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Skin depth and Mermin-Wagner theorem
In 3+1 spacetime dimensions, we consider the photon to be the Goldstone associated with a continuous $U(1)$ one-form symmetry. … Does this mean that the $U(1)$ one-form symmetry cannot be spontaneously broken? …
- 3,506
5
votes
1
answer
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Higher form symmetries and massive gauge fields
Does this mean that massive E&M has a one-form symmetry?
I have never heard anyone claim that massive gauge fields have higher-form symmetries, leading me to suspect they do not. …
- 213k
6
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0
answers
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Higher form symmetries and Yang Mills
By contrast, ordinary E&M with a $U(1)$ gauge field possesses a continuous $U(1)$ one-form symmetry
Question 1: Why does the $SU(N)$ gauge theory give rise to a discrete one-form symmetry, while the $U … (1)$ gauge theory gives rise to a continuous one-form symmetry? …
- 213k
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Ambiguity in applying Newton's shell theorem in an infinite homogeneous universe
The problem lies in the boundary conditions. Ignoring factors of $G$ and $\pi$, gauss's law of gravitation relates the gravitational potential $\Phi$ to the mass density $\rho$ by
$$\rho=-\nabla^2 \Ph …
- 1,113
3
votes
1
answer
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Goldstone theorem in Weinberg vol 2
I was reading the proof of Goldstone's theorem (the operator proof starting on page 170) in Weinberg's book on QFT (Volume II) and got confused. I am able to follow each line of the proof, but as a wh …
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Symmetries of effective field theory of hydrodynamics: a confusing calculation
In particular I want to understand how the authors get from the Lagrangian (6.71) to the constrained symmetry (6.72). … \partial f^i}{\partial \sigma^j}\bigg)=1.$$
QUESTION: I am having trouble carrying out the computation of integrating out the $\sigma^0$ fields to obtain the volume-preserving spatial diffeomorphism symmetry …
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