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1 vote
0 answers
75 views

How do we measure the gluon scattering?

In QFT, we often calculate the 'Feynman amplitude' for gluon scattering. As we know, Gluon is gauge boson mediating the strong force between quarks. By color confinement, Quarks are never seen in our ...
Sasha Shin's user avatar
0 votes
0 answers
61 views

Calculating Diagrams with Wilson Lines to One Loop

I have a question concerning the calculation of amplitudes containing Wilson lines. I want to calculate the jet function defined by equation (3.3) from this paper. $$\mathcal{J}(\text{arguments})u_s(p)...
George Smyridis's user avatar
2 votes
0 answers
92 views

Why does a gluon soft factor depend only on the adjacent legs?

The gluon soft factor can be obtained by taking the soft gluon limit in the $n$-point MHV amplitude $$A(1,2,\cdots, n)=\frac{\langle i,j\rangle^4}{\langle 1,2\rangle\cdots\langle n, 1\rangle},$$ to be ...
Chetan Pandey's user avatar
2 votes
0 answers
38 views

How to derive Collinear amplitude proportional to Born amplitude

In the collinear limit, the squared matrix element factorises into (for partons 4 and 5 going collinear) \begin{eqnarray} \overline{\sum}|M_3(1+2 \to 3+4+5)|^2 \approx \overline{\sum}|M_2(1+2 \to 3+4')...
Abhinava Danish's user avatar
2 votes
1 answer
80 views

Is Compton Scattering the "Abelian limit" of $qg \rightarrow qg$?

I have calculated the average over initial and sum over final states of the squared amplitude for both Compton scattering $e^-\gamma \rightarrow e^-\gamma$ (QED) and quark-gluon scattering $qg \...
user4580791's user avatar
3 votes
1 answer
244 views

$qg \rightarrow qg$: Spinor Helicity Formalism

I am calculating the cross-section for quark gluon to quark gluon scattering in the spinor helicity formalism. This process has contributions from the Mandelstam channels $s$, $t$ and $u$. Using the ...
user4580791's user avatar
1 vote
1 answer
133 views

Confusion among channel $u$ and channel $t$ in exclusive reactions

In the this paper (https://arxiv.org/abs/1203.4392), on page 2 it is said that Since DVCS amplitude is symmetric under $s \leftrightarrow u$ channel crossing, the CFFs and $^{S}C^i_{\cdots}$ ...
Vicky's user avatar
  • 1,597
4 votes
0 answers
222 views

Asymptotic states in strongly-coupled QFTs

In QFT the asymptotic states play a very important role, as they are the basis on which we decompose our in-states and out-states when we calculate correlation functions. However, I have not been ...
edmateosg's user avatar
  • 431
4 votes
0 answers
527 views

Ghosts use in the calculus of the scattering matrix

When you perform the calculus of $S$ matrix in, for instance, QCD maybe you need to add ghosts in external legs or internal loops. E.g.: $q\bar{q} \rightarrow gg$ needs 2 ghosts diagrams with ghosts ...
Vicky's user avatar
  • 1,597
4 votes
1 answer
219 views

The kinematic region for the operator product expansion

In Ch.18 of the textbook An Introduction to Quantum Field Theory by Peskin and Schroeder, on P.613 the operator product expansion (OPE) is introduced $$\mathcal{O}_1(x)\mathcal{O}_2(0)\to \sum_n C_{...
gamebm's user avatar
  • 962
9 votes
3 answers
950 views

Are there any serious alternatives to QCD nowadays?

I've read several posts here where people talk about the history of the developement of the theory of strong interactions. And they mention Regge theory, pomerons, S-matrix and so on. I'm confused ...
Physics_maths's user avatar