Count To 100,000 only using pictures!

[Thrifty Version II]

[Thrifty Version II]

[Thrifty Version II]

[Thrifty Version II]

[Thrifty Version II]

[Thrifty Version II]

The forum software is totally gonna flag me as a spammer, I just know it.

[Thrifty Version II]

[Thrifty Version II]

[Thrifty Version II]

Okay I'm done now.

Rules said 1 picture per post, but nothing about forcing us to alternate.  I had time to kill, thought I'd plunge through a bunch of numbers.

[Pak-Man]

Aww. I wanted to post the 386. That was my first PC's chip. Ran Day of the Tentacle LIKE A BOSS!

[Johnny Unusual]

And now, a Dadaist magazine

[Lembach]

[ScottotD]

[Johnny Unusual]

Spoiler (click to show/hide)

Turn to Page 394

[goflyblind]

Spoiler (click to show/hide)

Turn to Page 394

Spoiler (click to show/hide)

Wilson's method is based on the functional integral approach to field theory, in which the degrees of freedom of a quantum field are variables of integration. In this approach, one can study the origin of ultraviolet divergences by isolating the dependence of the functional integral on the short-distance degrees of freedom of the field. In this section, we will illustrate this idea in the simplest example of \phi^4 theory.
To make our analysis more concrete, we will drop the elegant but somewhat mysterious method of dimensional regularization in this section and instead use a sharp momentum cutoff. Since we will be working here only in phi^4 theory, we will not be concerned that this cutoff makes it difficult to satisfy Ward identities. Wilson's analysis can be adapted to QED and other situations where this subtlety is important, but the case of \phi^4 theory is sufficient to give us the basic qualitative results of this approach.
In Section 9.2, we constructed the Green's functions of phi^4 theory in terms of a functional integral representation of the generating functional Z[J]. The basic integration variables are the Fourier components of the field \phi(k), so Z[J] is given concretely by the expression
Z[j] = \int D\phi e^{i \int [L + J \phi]} = (\prodcut_k \int d\phi(k) e^{i \int [L + J \phi]}.
To impose a sharp ultraviolet cutoff \Lambda, we restrict the number of the integration variables displayed in the above expression. That is, we integrate only over \phi(k) with |k| \leq \Lambda, and set \phi(k) = 0 for |k| > \Lambda.

i don't get it.