Zobrazeno 1 - 10
of 41
pro vyhledávání: '"Sakoda, Seiji"'
Autor:
Sakoda, Seiji, Suzuki, Kohei
On the basis of the canonical quantization procedure, in which we need the indefinite metric Hilbert space, we formulate field diagonal representation for the scalar Lee-Wick model. Euclidean path integral for the model is then constructed in terms o
Externí odkaz:
http://arxiv.org/abs/1901.06812
Autor:
Sakoda, Seiji
Publikováno v:
Prog Theor Exp Phys (2019)
On the basis of the canonical quantization procedure of a system defined on a cubic lattice, we propose a new method, in which resolutions of unity expressed in terms of eigenvectors are naturally provided, to find eigenvectors of field operators. By
Externí odkaz:
http://arxiv.org/abs/1812.10243
Autor:
Sakoda, Seiji
It is wellknown that the Feynman kernel for the free particle on the half-line can be expressed as a sum over classical paths if we take the contribution from the reflected path into account. The minus sign for the reflected path needs to be generali
Externí odkaz:
http://arxiv.org/abs/1809.04856
Autor:
Sakoda, Seiji
We study the decomposition of the Feynman kernel for a particle in a box with $1/\sin^{2}\theta$ potential to find that the wellknown phase factor $-1$, which is correct for the case of the free particle, for reflection at boundaries should be genera
Externí odkaz:
http://arxiv.org/abs/1809.01732
Autor:
Sakoda, Seiji
We make use of point transformations to introduce new canonical variables for systems defined on a finite interval and on the half-line so that new position variables should take all real values from $-\infty$ to $\infty$. The completeness of eigenve
Externí odkaz:
http://arxiv.org/abs/1804.00834
Autor:
Sakoda, Seiji
We propose a new method to evaluate the effective potential in the path integral for the fixed-energy amplitude as well as for the pseudotime evolution kernel in the formalism by Duru and Kleinert. Restriction to the postpoint or the prepoint prescri
Externí odkaz:
http://arxiv.org/abs/1706.04738
Autor:
Sakoda, Seiji
The orthogonality of the radial plane waves, introduced by Fujikawa, turns out to be broken for the case of infinite volume. We will find, though they become overcomplete, the concept of the radial plane waves remains useful for constructing radial p
Externí odkaz:
http://arxiv.org/abs/0907.5246
Autor:
Sakoda, Seiji
Publikováno v:
Mod.Phys.Lett.A23:3057-3076,2008
We solve time-sliced path integrals of one-dimensional Coulomb system in an exact manner. In formulating path integrals, we make use of the Duru-Kleinert transformation with Fujikawa's gauge theoretical technique. Feynman kernels in the momentum repr
Externí odkaz:
http://arxiv.org/abs/0808.1600
Autor:
Sakoda, Seiji
Publikováno v:
Prog.Theor.Phys.117:745-763,2007
We investigate 't Hooft's technique of changing the gauge parameter of the linear covariant gauge from the point of view of the path integral with respect to the gauge freedom. Extension of the degrees of freedom allows us to formulate a system with
Externí odkaz:
http://arxiv.org/abs/hep-th/0703270
Autor:
Sakoda, Seiji
Basing on the canonical quantization of a BRS invariant Lagrangian, we construct holomorphic representation of path integrals for Faddeev-Popov(FP) ghosts as well as for unphysical degrees of the gauge field from covariant operator formalism. A thoro
Externí odkaz:
http://arxiv.org/abs/hep-th/0501205