Abstract
We develop the concept of quantum phase-space (Wigner) distributions for quarks and gluons in the proton. To appreciate their physical content, we analyze the contraints from special relativity on the interpretation of elastic form factors, and examine the physics of the Feynman parton distributions in the proton's rest frame. We relate the quark Wigner functions to the transverse-momentum dependent parton distributions and generalized parton distributions, emphasizing the physical role of the skewness parameter. We show that the Wigner functions allow us to visualize quantum quarks and gluons using the language of classical phase space. We present two examples of the quark Wigner distributions and point out some model-independent features.
| Original language | English (US) |
|---|---|
| Article number | 074014 |
| Journal | Physical Review D |
| Volume | 69 |
| Issue number | 7 |
| DOIs | |
| State | Published - 2004 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)
Cite this
Quark imaging in the proton via quantum phase-space distributions. / Belitsky, Andrei; Ji, Xiangdong; Yuan, Feng.
In: Physical Review D, Vol. 69, No. 7, 074014, 2004.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Quark imaging in the proton via quantum phase-space distributions
AU - Belitsky, Andrei
AU - Ji, Xiangdong
AU - Yuan, Feng
PY - 2004
Y1 - 2004
N2 - We develop the concept of quantum phase-space (Wigner) distributions for quarks and gluons in the proton. To appreciate their physical content, we analyze the contraints from special relativity on the interpretation of elastic form factors, and examine the physics of the Feynman parton distributions in the proton's rest frame. We relate the quark Wigner functions to the transverse-momentum dependent parton distributions and generalized parton distributions, emphasizing the physical role of the skewness parameter. We show that the Wigner functions allow us to visualize quantum quarks and gluons using the language of classical phase space. We present two examples of the quark Wigner distributions and point out some model-independent features.
AB - We develop the concept of quantum phase-space (Wigner) distributions for quarks and gluons in the proton. To appreciate their physical content, we analyze the contraints from special relativity on the interpretation of elastic form factors, and examine the physics of the Feynman parton distributions in the proton's rest frame. We relate the quark Wigner functions to the transverse-momentum dependent parton distributions and generalized parton distributions, emphasizing the physical role of the skewness parameter. We show that the Wigner functions allow us to visualize quantum quarks and gluons using the language of classical phase space. We present two examples of the quark Wigner distributions and point out some model-independent features.
UR - http://www.scopus.com/inward/record.url?scp=2442705684&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=2442705684&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.69.074014
DO - 10.1103/PhysRevD.69.074014
M3 - Article
AN - SCOPUS:2442705684
VL - 69
JO - Physical review D: Particles and fields
JF - Physical review D: Particles and fields
SN - 1550-7998
IS - 7
M1 - 074014
ER -