The renormalization tag has no usage guidance.

**1**

vote

**0**answers

57 views

### Estimating an $L^\beta$ norm

How can we justify the following estimate
\begin{align}
&\left\|\int_{B(x,\epsilon)} w(y)\{(B(y)-B(x)) \cdot \nabla \rho_\varepsilon(x-y) \} \, dy \right\|_{L^\beta(B_R)} \\
&\le C \|w\|_{L^p(...

**2**

votes

**1**answer

88 views

### Renorming into contraction

In Pazy's book on semigroups he mentions (page 18) that when you have a commuting family of operators $B(t)$, such that
$$
\sup \| B(t_1) .. B(t_n) \| \le M
$$
for all finite choices $t_1, .. t_n$ ...

**1**

vote

**0**answers

29 views

### Renormalization for Transport Equations with SBD velocity field

In the paper Traces and fine properties of a $BD$ class of vector fields and applications by Ambrosio, Crippa and Maniglia (to be found here)the authors prove a chain rule for vector fields $B\in SBD(...

**5**

votes

**1**answer

488 views

### What are some geometric / physical / probabilistic interpretations of the Riemann zeta function at integer arguments n ≤ 1?

Introduction: This is slightly edited and generalised version of a question I asked on the Physics Stack Exchange website. This question has a twin brother asked here on MO, only now we consider ...

**0**

votes

**0**answers

234 views

### RG flow and Ricci flow

It looks like the Laplace operator in the nonlinear sigma model (say the Polyakov action) is different from the Laplace-Beltrami operator, how can one get the Ricci flow as a low order approximation ...

**2**

votes

**1**answer

317 views

### Some identities with the Riemann-Hurwitz zeta function

The only definition that I have ever seen of this Riemann-Hurtwitz zeta-function is this,
For $0 < a \leq 1$ we have the identity
$$ \zeta(z, a) = \frac{2 \Gamma(1 - z)}{(2 \pi)^{1-z}} \left[\sin ...

**1**

vote

**1**answer

231 views

### zeta-function regularized integrals

I gather that the following two identities about $\xi(3)$ hold via some notion of zeta-function regularized integrals.
$\xi(3) = \frac{(2\pi)^3}{3}\int _0 ^\infty d\lambda \frac{\sqrt{\lambda} }{1 + ...

**1**

vote

**0**answers

214 views

### Looking for good conferences / workshops on applications of renormalization group methods [closed]

I am looking for conferences and/or workshops, where people working on different problems using renormalization group methods come together to share their results and experience.
As I have noted, ...

**3**

votes

**0**answers

143 views

### What does the renormalization group flow corresponding to a turbulent subrange with a broad band forcing look like?

In a renormalization group analysis of turbulent flows, such as for example done by Barbi and Münster here who derive an action for the Navier-Stokes equations, insert it into the Wilson equation, and ...

**3**

votes

**0**answers

119 views

### What is the relationship between complex time singularities and UV fixed points?

In this paper it is described how the turbulent kinetic energy spectrum and the flatness (a measure for intermittency) are governed by the position of the (dominant) singularities of the solutions of ...

**1**

vote

**1**answer

388 views

### Partial linearization near a hyperbolic fixed point--Classical scattering

I am currently reading the famous article "Universal Properties of Maps on an Interval"
by Collet, Eckmann and Lanford related to the Feigenbaum-Coullet-Tresser universality.
I am in particular ...

**2**

votes

**0**answers

397 views

### Looking for good summer schools on quantum field theory (especially renormalization theory) this summer [closed]

I'm a graduate student and I'm looking for summer schools to attend this summer. Anyone have any suggestions? Thanks!

**18**

votes

**5**answers

5k views

### What mathematical treatment is there on the renormalization group flow in a space of Lagrangians?

What mathematical treatment is there on the renormalization group flow in a space of Lagrangians?

**6**

votes

**1**answer

781 views

### Simple example of renormalization

As far as I understand, the RG theory, or functional RG theory is a mathematical tool for moving in the "scale dimension". The tool can be used for calculation of Feigenbaums constant (e.g. mentioned ...

**15**

votes

**2**answers

3k views

### Kontsevich's conjectures on the Grothendieck-Teichmüller group?

Reading Kontsevich's "Operads and Motives in Deformation Quantization", I was wondering about the state of the many conjectures concerning the Grothendieck-Teichmüller group in chapter 4. (Also, where ...

**18**

votes

**2**answers

2k views

### Why don't existence and uniqueness for the Boltzmann equation imply the same for Navier-Stokes?

As I understand it, Lions and DiPerna demonstrated existence and uniqueness for the Boltzmann equation. Moreover, this paper claims that
Appropriately scaled families of
DiPerna–Lions ...