We present an exploratory numerical study on the lattice of the color structure of the wave functionals of the SU(3) Yang-Mills theory in the presence of a qq¯ static pair. In a spatial box with periodic boundary conditions, we discuss the fact that all states contributing to the Feynman propagation kernel are global color singlets. We confirm this numerically by computing the correlations of gauge-fixed Polyakov lines with color-twisted boundary conditions in the time direction. The values of the lowest energies in the color singlet and octet external source sectors agree within statistical errors, confirming that both channels contribute to the lowest (global singlet) state of the Feynman kernel. We then study the case of homogeneous boundary conditions in the time direction for which the gauge fixing is not needed. In this case, the lowest energies extracted in the singlet external source sector agree with those determined with periodic boundary conditions, while in the octet sector, the correlator is compatible with being null within our statistical errors. Therefore, consistently only the singlet external source contribution has a nonvanishing overlap with the null-field wave functional.

Giusti, L., Guerrieri, A., Petrarca, S., Rubeo, A., Testa, M. (2015). Color structure of Yang-Mills theory with static sources in a periodic box. PHYSICAL REVIEW D, PARTICLES, FIELDS, GRAVITATION, AND COSMOLOGY, 92(3) [10.1103/PhysRevD.92.034515].

Color structure of Yang-Mills theory with static sources in a periodic box

GIUSTI, LEONARDO
Primo
;
2015

Abstract

We present an exploratory numerical study on the lattice of the color structure of the wave functionals of the SU(3) Yang-Mills theory in the presence of a qq¯ static pair. In a spatial box with periodic boundary conditions, we discuss the fact that all states contributing to the Feynman propagation kernel are global color singlets. We confirm this numerically by computing the correlations of gauge-fixed Polyakov lines with color-twisted boundary conditions in the time direction. The values of the lowest energies in the color singlet and octet external source sectors agree within statistical errors, confirming that both channels contribute to the lowest (global singlet) state of the Feynman kernel. We then study the case of homogeneous boundary conditions in the time direction for which the gauge fixing is not needed. In this case, the lowest energies extracted in the singlet external source sector agree with those determined with periodic boundary conditions, while in the octet sector, the correlator is compatible with being null within our statistical errors. Therefore, consistently only the singlet external source contribution has a nonvanishing overlap with the null-field wave functional.
Articolo in rivista - Articolo scientifico
Nuclear and High Energy Physics
English
2015
92
3
034515
none
Giusti, L., Guerrieri, A., Petrarca, S., Rubeo, A., Testa, M. (2015). Color structure of Yang-Mills theory with static sources in a periodic box. PHYSICAL REVIEW D, PARTICLES, FIELDS, GRAVITATION, AND COSMOLOGY, 92(3) [10.1103/PhysRevD.92.034515].
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/142432
Citazioni
  • Scopus 2
  • ???jsp.display-item.citation.isi??? 3
Social impact