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Eliminating unphysical photon components from Dirac–Maxwell Hamiltonian quantized in the Lorenz gauge

Shinichiro Futakuchi
(
- Hokkaido U.
)
,
Kouta Usui
(
- Hokkaido U.
)

(Apr 2, 2015)

Published in:
- J.Math.Anal.Appl. 446 (2017) 1, 1060-1104
•
e-Print:
- 1504.00462 [math-ph]

pdfDOI

reference search1 citation

Time-ordered exponential on the complex plane and Gell-Mann—Low formula as a mathematical theorem

Shinichiro Futakuchi
(
- Hokkaido U.
)
,
Kouta Usui
(
- Hokkaido U.
)

(Jul 7, 2014)

Published in:
- J.Math.Phys. 57 (2016) 4, 042302
•
e-Print:
- 1407.1690 [math.FA]

pdfDOI

reference search1 citation

New Criteria for Self-Adjointness and its Application to Dirac-Maxwell Hamiltonian

(Oct 19, 2013)

Published in:
- Lett.Math.Phys. 104 (2014) 9, 1107-1119
•
e-Print:
- 1310.5296 [math-ph]

pdfDOI

reference search1 citation

Construction of dynamics and time-ordered exponential for unbounded non-symmetric Hamiltonians

Shinichiro Futakuchi
(
- Hokkaido U.
)
,
Kouta Usui
(
- Hokkaido U.
)

(Sep 20, 2013)

Published in:
- J.Math.Phys. 55 (2014) 062303
•
e-Print:
- 1309.5194 [math-ph]

pdfDOI

reference search2 citations

A Note on Reflection Positivity and the Umezawa-Kamefuchi-Kallen-Lehmann Representation of Two Point Correlation Functions

Kouta Usui
(
- Tokyo U. and
- Tokyo U., IPMU
)

(Jan, 2012)

e-Print:
- 1201.3415 [hep-lat]

pdf

reference search0 citations

Direct Proof of Reflection Positivity of Free Overlap Dirac Fermion

Yoshio Kikukawa
(
- Tokyo U.
)
,
Kouta Usui
(
- Tokyo U. and
- Tokyo U., IPMU
)

(Dec, 2010)

Contribution to:
- Lattice 2010
•
e-Print:
- 1012.0152 [hep-lat]

pdf

reference search0 citations

Reflection Positivity of

\mathcal{N}

= 1 Wess-Zumino model on the lattice with exact U(1)

_R

symmetry

Yoshio Kikukawa
(
- Tokyo U., Komaba
)
,
Kouta Usui
(
- Tokyo U. and
- Tokyo U., IPMU
)

(Dec, 2010)

Published in:
- PoS LATTICE2011 (2011) 251
•
Contribution to:
- Lattice 2011
•
e-Print:
- 1012.5601 [hep-lat]

linksDOI

reference search0 citations

Reflection Positivity of Free Overlap Fermions

Yoshio Kikukawa
(
- Tokyo U.
)
,
Kouta Usui
(
- Tokyo U. and
- Tokyo U., IPMU
)

(May, 2010)

Published in:
- Phys.Rev.D 82 (2010) 114503
•
e-Print:
- 1005.3751 [hep-lat]

pdfDOI

reference search4 citations

Reflection positivity of the free overlap fermions

Yoshio Kikukawa
(
- Tokyo U.
)
,
Kouta Usui
(
- Tokyo U. and
- Tokyo U., IPMU
)

(2010)

Published in:
- PoS LATTICE2010 (2010) 267
•
Contribution to:
- Lattice 2010

pdflinksDOI

reference search0 citations

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