English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We have derived the quark mass dependence of $m_{\pi}^2$, $m_{\rm AWI}$ and$f_{\pi}$, using the chiral perturbation theory which includes the $a^2$ effectassociated with the explicit chiral symmetry breaking of the Wilson-typefermions, in the case of the $N_f=2$ degenerate quarks. Distinct features ofthe results are (1) the additive renormalization for the mass parameter $m_q$in the Lagrangian, (2) $O(a)$ corrections to the chiral log ($m_q\log m_q$)term, (3) the existence of more singular term, $\log m_q$, generated by $a^2$contributions, and (4) the existence of both $m_q\log m_q$ and $\log m_q$ termsin the quark mass from the axial Ward-Takahashi identity, $m_{\rm AWI}$. Byfitting the mass dependence of $m_\pi^2$ and $m_{\rm AWI}$, obtained by theCP-PACS collaboration for $N_f=2$ full QCD simulations, we have found that thedata are consistently described by the derived formulae. Resumming the mostsingular terms $\log m_q$, we have also derived the modified formulae, whichshow a better control over the next-to-leading order correction.Comment: 21 pages, 4 figures (10 eps files), Revtex4, some discussions and  references added, the final version to appear in PR

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Chiral perturbation theory with Wilson-type fermions including<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>effects:<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>N</mml:mi></mml:mrow><mml:mrow><mml:mi>f</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>=</mml:mo><mml:mn>2</…

Chiral perturbation theory with Wilson-type fermions includinga2effects:Nf=2