# Questions tagged [asymptotics]

The tag has no usage guidance.

112 questions
Filter by
Sorted by
Tagged with
1 vote
14 views

### How do asymptotic symmetries help to get information about black holes?

I've heard that asymptotic symmetries (like BMS) are used to get information about black holes just by looking at their fields. How does that work?
• 11
113 views
+100

### In and out states of scattering in Asymptotically flat spacetimes

I am reading a paper called "New symmetries of massless QED", written by Temple He, Prahar Mitra, Achilleas P. Porfyriadis and Andrew Strominger (https://arxiv.org/abs/1407.3789). At some ...
• 487
39 views

### Was asymptotic expansion also a form of symmetry?

Consider the infinitesimal expansion, which was used to describe the behavior of of the expression when taking the parameter to be small. The infinitesimal expansion was usually used to describe the ...
• 2,506
52 views

### A calculation of microstates

Pathria, Statistical mechanics pg 11,4ed In order to find the number of microstates $\Omega(N,V,E$) author writes " In other words, we have to determine the total number of (independent) ways of ...
• 678
1 vote
51 views

• 111
73 views

• 3,699
112 views

### QFT in in the asymptotic region

Let $\phi(x)$ be a scalar field operator. It often postulate in text books that in the asymptotic region we have $$\lim_{x_0\to-\infty} \phi(x)=\sqrt Z \phi_{in}(x)$$ where $Z$ is a constant. The ...
1 vote
24 views

### The variation of the flux of the linkage for the asymptotically flat spacetime

The concept of the linkage for the asymptotically flat spacetime is defined and dicussed in this paper by Geroch and Winicour. This is a nice paper, but I came across one problem. The linkage is an ...
• 1,387
99 views

### Why is the modified spherical Bessel function an asymptotic solution of this ODE?

I am trying to solve the radial equation with $R = u/r$ $$\frac{d^2}{dr^2}u - \frac{l(l+1)}{r^2}u + (E-V)u = 0; \qquad V(r) = -\frac{2Z}{\alpha}\frac{e^{-r}}{1 - e^{-r}},$$ using the shooting method....
• 1,000
1 vote
101 views

### Relation Asymptotic Series and perturbative effects

Perturbative expansions of a function $f(x)$ around say $x=0$ cannot determine contributions from a function such as $e^{-1/x}$ since its Taylor series vanishes to all orders. This kind of ...
• 691
1 vote
76 views

### Asympototic analysis for the following series sum

I am wondering is there one way to extract the asymptotic behavior of $x$ in the following expression near $x=0$? $$\sum_{n=1}^{\infty} n\log(1-\exp(-n x))$$ where $x$ is real.
• 11
1 vote