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1 vote
1 answer
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Definition of “quasi-locality” in Wilsonian RG scheme

I’m studying about the holographic RG with this paper. In that paper they say Wilsonian action expects quasi locality, but I’m not sure what “quasi-locality" exactly means. If quasi-locality ...
Positron3873's user avatar
1 vote
1 answer
191 views

$SO(3,1)$ is locally $SU(2)\times SU(2)$, what does *locally* mean here?

I am learning Lie group and Lie algebra. I saw in a YouTube video "Supersymmetry lecture 02" from OpenCourseWare (OCW) at University of Cambridge at 11:17 that $SO(3,1)$ is locally $SU(2) \...
Fermion's user avatar
  • 53
0 votes
1 answer
148 views

Newton's second law - local laws and non-local laws

What are local laws? I was reading this line in a book... Newtons second law is a local law. This means that it applies to a particle at a particular instant without taking into consideration any ...
Aditi Bansal's user avatar
2 votes
0 answers
193 views

Conformal Field Theory and Vertex Operator Algebra

I am trying to understand CFT from the viewpoint of both math(in particular using VOA) and physics. Now, in Math, we use the VOA to make sense of fields corresponding to certain states. We define for ...
alpha's user avatar
  • 83
4 votes
2 answers
412 views

What does local gauge invariance have to do with locality?

This concept is just being introduced to me in my QFT course, and my instructor mentioned that if a scalar field $\phi$ has $U(1)$ symmetry, then you can make a suitable gauge transformation $\phi \...
physics_fan_123's user avatar
0 votes
1 answer
134 views

Meaning of 'Local' density in Liouville's theorem

Liouville's theorem is commonly stated as $$\frac{d\rho}{dt} = \frac{\partial{\rho}}{\partial{t}} + [\rho, H]$$ Where, $H$ is Hamiltonian of the system, $\rho$ is the density, $[...]$ is the usual ...
mnuizhre's user avatar
  • 219
3 votes
2 answers
337 views

In Cosmology, what does it mean to be 'local'?

I'm trying to make a point that there is curvature of spacetime from the metric expansion that contributes to the dynamics of a galaxy. This curvature would be in addition to the curvature caused by ...
Quark Soup's user avatar
-2 votes
1 answer
292 views

What does it mean that gravity is '"local"? [closed]

What is "local" defined to be? Why don't larger systems affect smaller ones? ie. Don't we need to consider the gravitational pull from all other objects in the universe? Is this "...
Astroturf's user avatar
  • 167
9 votes
5 answers
1k views

Does local mean infinitesimally small?

I have studied General Relativity and there is one thing that I have trouble comprehending. What does local really mean? I will give some examples: The Hessian The Hessian is a way to compute the ...
Tachyon's user avatar
  • 1,896
1 vote
1 answer
97 views

What exactly means "local"? How local (and memoryless) is "local"?

Local and memoryless are easily defined in quantized space and time: Local: What happens from one time step to the next in one "cell" of quantized space is only influenced by the state of ...
kutschkem's user avatar
  • 745
4 votes
1 answer
563 views

What is a "quasi-local" charge?

Could someone please tell me what is a quasi-local charge? For instance, why are Brown-York charges called quasi-local?
Y2H's user avatar
  • 700
4 votes
2 answers
165 views

What is locality?

In QFT and statistical mechanics, one is usually interested in studying integrals of the form: $$Z(\phi) =\int d\mu_{C}(\phi')e^{-V(\phi+\phi')}$$ where $\mu_{C}$ is Gaussian measure with mean zero ...
JustWannaKnow's user avatar
2 votes
2 answers
712 views

Mathematical Definition of Locality

What is the mathematically precise definition of principle of locality in physics for a continuous space-time in the sense that an object is only directly influenced by its immediate surroundings?
Isomorphic's user avatar
  • 1,578
8 votes
1 answer
3k views

What is meant by a local Lagrangian density?

What is meant by a local Lagrangian density? How will a non-local Lagrangian look like? What is the problem that we do not consider such Lagrangian densities?
SRS's user avatar
  • 26.8k
5 votes
1 answer
1k views

Definition of Local Function

Now a days I am studying Srednicki's QFT book. In its third chapter it is written that Any local function of φ(x) is a Lorentz scalar, [...] . Now my question is: What is a local function?
rainman's user avatar
  • 3,023

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