skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Perspective on the Origin of Hadron Masses

Abstract

The energy-momentum tensor in chiral QCD, T-mu nu, exhibits an anomaly, viz. Theta(0) := T-mu mu not equal 0. Measured in the proton, this anomaly yields m(p)(2), where m(p) is the proton's mass; but, at the same time, when computed in the pion, the answer is m(pi)(2) = 0. Any attempt to understand the origin and nature of mass, and identify observable expressions thereof, must explain and unify these two apparently contradictory results, which are fundamental to the nature of our Universe. Given the importance of Poincare-invariance in modern physics, the utility of a frame-dependent approach to this problem seems limited. That is especially true of any approach tied to a rest-frame decomposition of T-mu nu because a massless particle does not possess a rest-frame. On the other hand, the dynamical chiral symmetry breaking paradigm, connected with a Poincare-covariant treatment of the continuum bound-state problem, provides a straightforward, simultaneous explanation of both these identities, and also a diverse array of predictions, testable at existing and proposed facilities. From this perspective, = 0 owing to exact, symmetry-driven cancellations which occur between one-body dressing effects and two-body-irreducible binding interactions in any well-defined computation of the forward scattering amplitude that defines this expectationmore » value in the pseudoscalar meson. The cancellation is incomplete in any other hadronic bound state, with a remainder whose scale is set by the size of one-body dressing effects.« less

Authors:
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science - Office of Nuclear Physics
OSTI Identifier:
1392289
DOE Contract Number:  
AC02-06CH11357
Resource Type:
Journal Article
Journal Name:
Few-Body Systems
Additional Journal Information:
Journal Volume: 58; Journal Issue: 1; Journal ID: ISSN 0177-7963
Publisher:
Springer
Country of Publication:
United States
Language:
English

Citation Formats

Roberts, Craig D. Perspective on the Origin of Hadron Masses. United States: N. p., 2016. Web. doi:10.1007/s00601-016-1168-z.
Roberts, Craig D. Perspective on the Origin of Hadron Masses. United States. doi:10.1007/s00601-016-1168-z.
Roberts, Craig D. Fri . "Perspective on the Origin of Hadron Masses". United States. doi:10.1007/s00601-016-1168-z.
@article{osti_1392289,
title = {Perspective on the Origin of Hadron Masses},
author = {Roberts, Craig D.},
abstractNote = {The energy-momentum tensor in chiral QCD, T-mu nu, exhibits an anomaly, viz. Theta(0) := T-mu mu not equal 0. Measured in the proton, this anomaly yields m(p)(2), where m(p) is the proton's mass; but, at the same time, when computed in the pion, the answer is m(pi)(2) = 0. Any attempt to understand the origin and nature of mass, and identify observable expressions thereof, must explain and unify these two apparently contradictory results, which are fundamental to the nature of our Universe. Given the importance of Poincare-invariance in modern physics, the utility of a frame-dependent approach to this problem seems limited. That is especially true of any approach tied to a rest-frame decomposition of T-mu nu because a massless particle does not possess a rest-frame. On the other hand, the dynamical chiral symmetry breaking paradigm, connected with a Poincare-covariant treatment of the continuum bound-state problem, provides a straightforward, simultaneous explanation of both these identities, and also a diverse array of predictions, testable at existing and proposed facilities. From this perspective, = 0 owing to exact, symmetry-driven cancellations which occur between one-body dressing effects and two-body-irreducible binding interactions in any well-defined computation of the forward scattering amplitude that defines this expectation value in the pseudoscalar meson. The cancellation is incomplete in any other hadronic bound state, with a remainder whose scale is set by the size of one-body dressing effects.},
doi = {10.1007/s00601-016-1168-z},
journal = {Few-Body Systems},
issn = {0177-7963},
number = 1,
volume = 58,
place = {United States},
year = {2016},
month = {12}
}

Works referenced in this record:

Physics opportunities with the 12 GeV upgrade at Jefferson Lab
journal, December 2012


The pion: an enigma within the Standard Model
journal, May 2016


Self-consistent solution of the Schwinger-Dyson equations for the nucleon and meson propagators
journal, March 1994


The Infrared Behaviour of the Pure Yang–Mills Green Functions
journal, January 2012


Bridging a gap between continuum-QCD and ab initio predictions of hadron observables
journal, March 2015


Confinement contains condensates
journal, June 2012


Explanation and prediction of observables using continuum strong QCD
journal, July 2014


Abelian anomaly and neutral pion production
journal, December 2010


Properties of Regge trajectories
journal, June 2000


Review of Particle Physics
journal, August 2014


Breakup of hadron masses and the energy-momentum tensor of QCD
journal, July 1995


Symmetry preserving truncations of the gap and Bethe-Salpeter equations
journal, May 2016


On the Implications of Confinement
journal, September 1992

  • Roberts, C. D.; Williams, A. G.; Krein, G.
  • International Journal of Modern Physics A, Vol. 07, Issue 22
  • DOI: 10.1142/S0217751X92002544

Ward–Green–Takahashi identities and the axial-vector vertex
journal, June 2014


Quark pair condensation and chiral symmetry breaking in QCD
journal, May 1982


QCD Analysis of the Mass Structure of the Nucleon
journal, February 1995


Three Lectures on Hadron Physics
journal, April 2016


The overlap representation of skewed quark and gluon distributions
journal, February 2001


Impact parameter dependent parton distributions and off-forward parton distributions for ζ→0
journal, September 2000


Light-front holographic QCD and emerging confinement
journal, July 2015


Dyson-Schwinger equations: Density, temperature and continuum strong QCD
journal, January 2000


Unquenched quark propagator in Landau gauge
journal, March 2005


Ghost poles in the nucleon propagator: Vertex corrections and form factors
journal, June 1993


Sigma terms from an SU(3) chiral extrapolation
journal, April 2013


Exclusive processes in quantum chromodynamics: Evolution equations for hadronic wavefunctions and the form factors of mesons
journal, November 1979


Sigma Terms of Light-Quark Hadrons
journal, January 2006


Masses of Ground- and Excited-State Hadrons
journal, March 2011


Nonperturbative comparison of QCD effective charges
journal, October 2009


Null-plane dynamics of particles and fields
journal, January 1992


Nonperturbative QCD: A weak-coupling treatment on the light front
journal, June 1994

  • Wilson, Kenneth G.; Walhout, Timothy S.; Harindranath, Avaroth
  • Physical Review D, Vol. 49, Issue 12
  • DOI: 10.1103/PhysRevD.49.6720

Deep inelastic electron scattering in perturbation theory
journal, November 1971


π - and K -meson Bethe-Salpeter amplitudes
journal, December 1997


Analysis of a quenched lattice-QCD dressed-quark propagator
journal, July 2003


A systematic extended iterative solution for quantum chromodynamics
journal, December 1996

  • Stingl, M.
  • Zeitschrift f�r Physik A: Hadrons and Nuclei, Vol. 353, Issue 4
  • DOI: 10.1007/BF01285154

Exclusive processes in perturbative quantum chromodynamics
journal, November 1980


Goldstone theorem and diquark confinement beyond rainbow-ladder approximation
journal, July 1996


Perspective on rainbow-ladder truncation
journal, April 2008


Distribution amplitudes of radially-excited π and K mesons
journal, June 2016


Quantum chromodynamics and other field theories on the light cone
journal, August 1998


Quark flavor effects on gluon and ghost propagators
journal, October 2012


Confinement of quarks
journal, October 1974


Light-cone-quantized QCD in 1+1 dimensions
journal, June 1990

  • Hornbostel, Kent; Brodsky, Stanley J.; Pauli, Hans-Christian
  • Physical Review D, Vol. 41, Issue 12
  • DOI: 10.1103/PhysRevD.41.3814

Sketching the Bethe-Salpeter Kernel
journal, August 2009


Propagation properties and condensate formation of the confined Yang-Mills field
journal, December 1986


Scale invariance vs conformal invariance
journal, March 2015


Generalized parton distributions
journal, December 2003


Asymptotic freedom in parton language
journal, August 1977


Schwinger functions, light-quark bound states and sigma terms
journal, November 2006


Toward unifying the description of meson and baryon properties
journal, January 2009


Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations
journal, July 2008


Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. I
journal, April 1961


Exploring the light-quark interaction
journal, December 2009


Flavor symmetry breaking and meson masses
journal, October 2007


Direct determinations of the nucleon and pion σ terms at nearly physical quark masses
journal, May 2016


Lattice status of gluonia/glueballs
journal, January 2009


Pion mass and decay constant
journal, February 1998


The renormalization of FF
journal, March 1982


Systematics of radial and angular-momentum Regge trajectories of light nonstrange q q ¯ -states
journal, May 2012


Impact Parameter Space Interpretation for Generalized Parton Distributions
journal, January 2003


Electron-Ion Collider: The next QCD frontier: Understanding the glue that binds us all
journal, September 2016


Chiral symmetry breaking in Coulomb gauge QCD
journal, October 1984


Factorization and asymptotic behaviour of pion form factor in QCD
journal, July 1980


Dyson-Schwinger equations and their application to hadronic physics
journal, January 1994


Survey of heavy-meson observables
journal, July 1999


Dynamical chiral symmetry breaking and confinement with an infrared-vanishing gluon propagator?
journal, May 1994

  • Hawes, Frederick T.; Roberts, Craig D.; Williams, Anthony G.
  • Physical Review D, Vol. 49, Issue 9
  • DOI: 10.1103/PhysRevD.49.4683

Quantum Monte Carlo methods for nuclear physics
journal, September 2015


Observation of string breaking in QCD
journal, June 2005