Charge Conjugation and its Violation in Unified Models

2, 12, 117, 1959, 45171, 1170086, …: a Hilbert series for the QCD chiral Lagrangian

Journal of High Energy Physics ◽

10.1007/jhep01(2021)142 ◽

2021 ◽

Vol 2021 (1) ◽

Author(s):

Lukáš Gráf ◽

Brian Henning ◽

Xiaochuan Lu ◽

Tom Melia ◽

Hitoshi Murayama

Keyword(s):

Hilbert Series ◽

Charge Conjugation ◽

External Fields ◽

Dynkin Diagrams ◽

Non Linear ◽

Very High ◽

Chiral Lagrangian

Abstract We apply Hilbert series techniques to the enumeration of operators in the mesonic QCD chiral Lagrangian. Existing Hilbert series technologies for non-linear realizations are extended to incorporate the external fields. The action of charge conjugation is addressed by folding the $$ \mathfrak{su}(n) $$ su n Dynkin diagrams, which we detail in an appendix that can be read separately as it has potential broader applications. New results include the enumeration of anomalous operators appearing in the chiral Lagrangian at order p8, as well as enumeration of CP-even, CP-odd, C-odd, and P-odd terms beginning from order p6. The method is extendable to very high orders, and we present results up to order p16.(The title sequence is the number of independent C-even and P-even operators in the mesonic QCD chiral Lagrangian with three light flavors of quarks, at chiral dimensions p2, p4, p6, …)

Download Full-text

Planarization, Fusion, and Strain of Carbon-Bridged Phenylenevinylene Oligomers Enhance π-Electron and Charge Conjugation: A Dissectional Vibrational Raman Study

Journal of the American Chemical Society ◽

10.1021/ja5125463 ◽

2015 ◽

Vol 137 (11) ◽

pp. 3834-3843 ◽

Cited By ~ 36

Author(s):

Paula Mayorga Burrezo ◽

Xiaozhang Zhu ◽

Shou-Fei Zhu ◽

Qifan Yan ◽

Juan T. López Navarrete ◽

...

Keyword(s):

Charge Conjugation ◽

Raman Study

Download Full-text

1/Ncrotational corrections togAin the Nambu–Jona-Lasinio model and charge conjugation

Physical Review C ◽

10.1103/physrevc.52.425 ◽

1995 ◽

Vol 52 (1) ◽

pp. 425-426 ◽

Cited By ~ 4

Author(s):

Chr. V. Christov ◽

K. Goeke ◽

P. V. Pobylitsa

Keyword(s):

Charge Conjugation

Download Full-text

Optically detected magnetic resonance (ODMR) of polarons and charge-conjugation symmetry in conducting polymers

Synthetic Metals ◽

10.1016/0379-6779(92)90203-u ◽

1992 ◽

Vol 50 (1-3) ◽

pp. 481-489 ◽

Cited By ~ 20

Author(s):

L.S. Swanson ◽

J. Shinar ◽

P.A. Lane ◽

B.C. Hess ◽

F. Wudl

Keyword(s):

Magnetic Resonance ◽

Conducting Polymers ◽

Charge Conjugation ◽

Optically Detected Magnetic Resonance ◽

Optically Detected

Download Full-text

OPEN DESCENDANTS OF U(2N) ORBIFOLDS AT RATIONAL RADII

International Journal of Modern Physics A ◽

10.1142/s0217751x01005158 ◽

2001 ◽

Vol 16 (22) ◽

pp. 3659-3671 ◽

Cited By ~ 4

Author(s):

A. N. SCHELLEKENS ◽

N. SOUSA

Keyword(s):

Klein Bottle ◽

Charge Conjugation ◽

Boundary States ◽

Simple Currents

We construct explicitly the open descendants of some exceptional automorphism invariants of U (2N) orbifolds. We focus on the case N = p1 × p2, p1 and p2 prime, and on the automorphisms of the diagonal and charge conjugation invariants that exist for these values of N. These correspond to orbifolds of the circle with radius R2 = 2p1/p2. For each automorphism invariant we find two consistent Klein bottles, and for each Klein bottle we find a complete (and probably unique) set of boundary states. The two Klein bottles are in each case related to each other by simple currents, but surprisingly for the automorphism of the charge conjugation invariant neither of the Klein bottle choices is the canonical (symmetric) one.

Download Full-text