An Introduction to Large Momentum Effective Theory

特別講義: パートン分布関数計算のための LaMET 法 – An Introduction to Large Momentum Effective Theory –

京大基研に滞在する 国立台湾大学 Jiunn-Wei Chen 教授に表記特別講義をお願いしました。会場は理研R-CCS(神戸)/Zoom です。受講対象として、基礎的な QCD 及び Lattice QCD の知識のある方を想定しています。興味がある方の参加を歓迎します。対面、zoom 参加ともに参加登録が必須です。対面参加をご希望の場合、登録締切が間近ですのでご注意下さい。

We will have a special lecture by Prof. Jiunn-Wei Chen (National Taiwan University) on a method of calculating parton distribution functions, called LaMET. Participants are assumed to have basic knowledge of QCD and lattice QCD.Anyone interested is welcome to join. Anyone interested is welcome to join. Please note that a pre-registration is needed for access to the site or zoom and the one for the on-site participation will be closed in a week. Please see below.

• Date and time: 2024/11/20〜21
  • 11/20 – 13:30〜17:00
  • 11/21 – 9:00〜12:30 (planned)
• Place: 理化学研究所 計算科学研究センター (神戸) / RIKEN Center for Computational Science (Kobe) and Zoom Live Cast
• Deadline of registration:
  • on-site participation: 2024/11/10(Sun)
  • Zoom Live Cast: 2024/11/19(Tue)
• Registration: closed

For both types of participation, access details are informed to those who completed the registration.

Abstract

Lecturer: Prof. Juinn-Wei Chen (National Taiwan University)

A pedagogical Introduction to X. Ji’s Large Momentum Effective Theory (LaMET) will be presented to an audience with basic knowledge of QCD and lattice QCD in four lectures:

Lecture 1: A Family of Parton Distributions slides (pdf file)

We will introduce a family of parton distributions, including Partition Distribution Functions (PDFs), Generalized Parton Distributions (GPDs), Transverse Momentum Distributions (TMDs), and Wigner Functions. Their importance and their determinations through theories and experiments will be discussed. The emergence of PDFs from deep inelastic lepton-hadron scattering through OPE will be derived as an example.

Lecture 2: Large Momentum Effective Theory (LaMET) slides (pdf file)

The main idea that leads to LaMET will be introduced. The application of LaMET to the PDF calculation exhibits a factorization theorem that includes matching and power corrections. Power corrections will be discussed in this lecture.

Lecture 3: Matching Coefficients in LaMET slides (pdf file)

The matching coefficient computations in the factorization theorem of LaMET will be introduced. This is a more technical but critical part of LaMET. I will work out the simplest example in one-loop matching and then introduce relevant topics of non-perturbative renormalization, renormalon ambiguity, and resummations that are useful in matching calculations.

Lecture 4: From PDFs to GPDs and TMDs slides (pdf file)

Issues of lattice QCD computations to PDFs will be discussed. We will also briefly mention how to apply LaMET to the computations of GPDs and TMDs.

Organizers: Sinya Aoki, Yasumichi Aoki, Issaku Kanamori