CERN Accelerating science

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1.
Discrete spacetime symmetries and particle mixing in non-Hermitian scalar quantum field theories / Alexandre, Jean (King's Coll. London) ; Ellis, John (King's Coll. London ; NICPB, Tallinn ; CERN) ; Millington, Peter (Nottingham U.)
We discuss second quantization, discrete symmetry transformations and inner products in free non-Hermitian scalar quantum field theories with PT symmetry, focusing on a prototype model of two complex scalar fields with anti-Hermitian mass mixing. Whereas the definition of the inner product is unique for theories described by Hermitian Hamiltonians, its formulation is not unique for non-Hermitian Hamiltonians. [...]
arXiv:2006.06656; KCL-PH-TH/2020-19; CERN-TH-2020-063.- 2020-12-29 - 20 p. - Published in : Phys. Rev. D 102 (2020) 125030 Article from SCOAP3: PDF; Fulltext: PDF;
2.
Discrete spacetime symmetries, second quantization, and inner products in a non-Hermitian Dirac fermionic field theory / Alexandre, Jean (King's Coll. London) ; Ellis, John (King's Coll. London ; NICPB, Tallinn ; CERN) ; Millington, Peter (Nottingham U.)
We extend to a non-Hermitian fermionic quantum field theory with PT symmetry our previous discussion of second quantization, discrete symmetry transformations, and inner products in a scalar field theory [arXiv:2006.06656]. For illustration, we consider a prototype model containing a single Dirac fermion with a parity-odd, anti-Hermitian mass term. [...]
arXiv:2201.11061; KCL-PH-TH/2021-79; CERN-TH-2021-172.- 2022-09-06 - 29 p. - Published in : Phys. Rev. D 106 (2022) 6 Fulltext: 2201.11061 - PDF; Publication - PDF;
3.
Oscillation probabilities for a $\rho$$\tau$-symmetric non-Hermitian two-state system / Alexandre, Jean (King's Coll. London) ; Dale, Madeleine (Rome U., Tor Vergata ; INFN, Rome ; Cyprus U. ; Humboldt U., Berlin) ; Ellis, John (King's Coll. London ; CERN) ; Mason, Robert (Liverpool U.) ; Millington, Peter (Manchester U.)
There is growing interest in viable quantum theories with$\rho$$\tau$-symmetric non-Hermitian Hamiltonians, but a formulation of transition matrix elements consistent with positivity and perturbative unitarity has so far proved elusive. [...]
arXiv:2302.11666 ; KCL-PH-TH/2023-17 ; CERN-TH-2023-032 ; LTH 1334.
- 5 p.
Fulltext
4.
Spontaneous symmetry breaking and the Goldstone theorem in non-Hermitian field theories / Alexandre, Jean (King's Coll. London) ; Ellis, John (King's Coll. London ; NICPB, Tallinn ; CERN) ; Millington, Peter (Nottingham U.) ; Seynaeve, Dries (King's Coll. London)
We demonstrate the extension to PT-symmetric field theories of the Goldstone theorem, confirming that the spontaneous appearance of a field vacuum expectation value via minimisation of the effective potential in a non-Hermitian model is accompanied by a massless scalar boson. Laying a basis for our analysis, we first show how the conventional quantisation of the path-integral formulation of quantum field theory can be extended consistently to a non-Hermitian model by considering PT conjugation instead of Hermitian conjugation. [...]
arXiv:1805.06380; KCL-PH-TH-2018-18; CERN-PH-TH-2018-117; CERN-TH-2018-117.- 2018-08-01 - 20 p. - Published in : Phys. Rev. D 98 (2018) 045001 Article from SCOAP3: PDF; Fulltext: PDF;
5.
PT-Symmetric Non-Hermitian Supersymmetry / Alexandre, Jean (King's Coll. London) ; Ellis, John (King's Coll. London ; NICPB, Tallinn ; CERN) ; Millington, Peter (Nottingham U.)
We formulate supersymmetric non-Hermitian quantum field theories with PT symmetry, starting with free chiral boson/fermion models and then including trilinear superpotential interactions. We consider models with both Dirac and Majorana fermions, analyzing them in terms of superfields and at the component level. [...]
arXiv:2001.11996; KCL-PH-TH/2020-01; CERN-TH-2020-008.- 2020-04-25 - 11 p. - Published in : Phys. Rev. D 101 (2020) 085015 Article from SCOAP3: PDF; Fulltext: PDF; Fulltext from Publisher: PDF;
6.
Spontaneously Breaking Non-Abelian Gauge Symmetry in Non-Hermitian Field Theories / Alexandre, Jean (King's Coll. London) ; Ellis, John (King's Coll. London ; NICPB, Tallinn ; CERN) ; Millington, Peter (Nottingham U.) ; Seynaeve, Dries (King's Coll. London)
We generalise our previous formulation of gauge-invariant PT-symmetric field theories to include models with non-Abelian symmetries and discuss the extension to such models of the Englert-Brout-Higgs-Kibble mechanism for generating masses for vector bosons. As in the Abelian case, the non-Abelian gauge fields are coupled to non-conserved currents. [...]
arXiv:1910.03985; KCL-PH-TH/2019-76; CERN-TH-2019-161.- 2020-02-08 - 15 p. - Published in : Phys. Rev. D 101 (2020) 035008 Article from SCOAP3: PDF; Fulltext: PDF;
7.
Gauge invariance and the Englert-Brout-Higgs mechanism in non-Hermitian field theories / Alexandre, Jean (King's Coll. London) ; Ellis, John (King's Coll. London ; NICPB, Tallinn ; CERN) ; Millington, Peter (Nottingham U.) ; Seynaeve, Dries (King's Coll. London)
We discuss $\mathcal{PT}$-symmetric Abelian gauge field theories, as well as their extension to the Englert-Brout-Higgs mechanism for generating a mass for a vector boson. Gauge invariance is not straightforward, and we discuss the different related problems, as well as a solution which consists in coupling the gauge field to a current that is not conserved. [...]
arXiv:1808.00944; KCL-PH-TH/2018-40; CERN-TH/2018-183; CERN-TH-2018-183.- 2019-04-20 - 19 p. - Published in : Phys. Rev. D 99 (2019) 075024 Article from SCOAP3: PDF; Fulltext: PDF; Fulltext from Publisher: PDF;
8.
Yang phase for non-Hermitian systems and biunitary transformations / Mignani, R P
ROM-P-782.
- 1991. - 20 p.
CERN library copies
9.
On the diagonalization of principal submatrices of positive-definite symmetric matrices; pt 2; properties of the transformation matrix / Daneels, A
1972 - Published in : Bull. Soc. Math. Belgique: 24 (1972) , pp. 247
10. Recommendations of the Finance Committee to Council as to the Financing of the 1965 Supplementary Programme
Recommandations du Comité des Finances au Conseil au sujet du financement du programme supplémentaire pour 1965
CERN/0572
28th Session of Council ; 1964
English: PDF
French: PDF

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