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Peer-reviewedCC BYJournal of High Energy Physics

Hadronic scattering in (1+1)D SU(2) lattice gauge theory from tensor networks

  • J. C. A. Barata1
  • Juan Hormaza2
  • Zhong-Bo Kang3
  • Wenyang Qian4,5
5 affiliations
  1. 1CERN, Theoretical Physics Department
  2. 2Universidad Nacional de Colombia
  3. 3University of California
  4. 4Central China Normal University
  5. 5Universidade de Santiago de Compostela
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Abstract

A bstract We present a first real-time study of hadronic scattering in a (1+1)-dimensional SU(2) lattice gauge theory with fundamental fermions using tensor-network techniques. Working in the gaugeless Hamiltonian formulation — where the gauge field is exactly integrated out and no truncation of the electric flux is required — we investigate scattering processes across sectors of fixed global baryon number B = 0, 1, 2. These correspond respectively to meson-meson, meson-baryon, and baryon-baryon collisions. At strong coupling, the B = 0 and B = 2 channels exhibit predominantly elastic dynamics closely resembling those of the U(1) Schwinger model. In contrast, the mixed B = 1 sector shows qualitatively new behavior: meson and baryon wavepackets become entangled during the collision, and depending on their initial kinematics, the slower state becomes spatially delocalized while the faster one propagates ballistically. We characterize these processes through local observables, entanglement entropy, and the information-lattice, which together reveal how correlations build up and relax during the interaction. Our results establish a first benchmark for non-Abelian real-time scattering from first principles and open the path toward quantum-simulation studies of baryon-number dynamics and inelastic processes in gauge theories.

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Cite

BibTeXRIS
BibTeX
@article{barata2026hadronic,
  title = {{Hadronic scattering in (1+1)D SU(2) lattice gauge theory from tensor networks}},
  author = {J. C. A. Barata and Juan Hormaza and Zhong-Bo Kang and Wenyang Qian},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = jun,
  doi = {10.1007/jhep06(2026)168},
  url = {https://doi.org/10.1007/jhep06(2026)168},
  note = {CC BY},
}
RIS
TY  - JOUR
TI  - Hadronic scattering in (1+1)D SU(2) lattice gauge theory from tensor networks
AU  - J. C. A. Barata
AU  - Juan Hormaza
AU  - Zhong-Bo Kang
AU  - Wenyang Qian
PY  - 2026
DA  - 2026/06/16
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep06(2026)168
UR  - https://doi.org/10.1007/jhep06(2026)168
AB  - A bstract We present a first real-time study of hadronic scattering in a (1+1)-dimensional SU(2) lattice gauge theory with fundamental fermions using tensor-network techniques. Working in the gaugeless Hamiltonian formulation — where the gauge field is exactly integrated out and no truncation of the electric flux is required — we investigate scattering processes across sectors of fixed global baryon number B = 0, 1, 2. These correspond respectively to meson-meson, meson-baryon, and baryon-baryon collisions. At strong coupling, the B = 0 and B = 2 channels exhibit predominantly elastic dynamics closely resembling those of the U(1) Schwinger model. In contrast, the mixed B = 1 sector shows qualitatively new behavior: meson and baryon wavepackets become entangled during the collision, and depending on their initial kinematics, the slower state becomes spatially delocalized while the faster one propagates ballistically. We characterize these processes through local observables, entanglement entropy, and the information-lattice, which together reveal how correlations build up and relax during the interaction. Our results establish a first benchmark for non-Abelian real-time scattering from first principles and open the path toward quantum-simulation studies of baryon-number dynamics and inelastic processes in gauge theories.
SN  - 1029-8479
SN  - 1126-6708
SN  - 1127-2236
ER  -