qTranslate queries to database

Dear all,

I got one issue. It cost me almost 1 week. still not find the answer, can anybody help me to figure it out? million thx!!!!

here is the issue:
I use query to database for listing the categories by special author. it works great by below code:

<?php
    $author = get_query_var('author');
    $categories = $wpdb->get_results("
    SELECT DISTINCT(terms.term_id) as ID, terms.name, terms.slug, tax.description
    FROM $wpdb->posts as posts
    LEFT JOIN $wpdb->term_relationships as relationships ON posts.ID = relationships.object_ID
    LEFT JOIN $wpdb->term_taxonomy as tax ON relationships.term_taxonomy_id = tax.term_taxonomy_id
    LEFT JOIN $wpdb->terms as terms ON tax.term_id = terms.term_id
    WHERE 1=1 AND (
        posts.post_status = 'publish' AND
	posts.post_author = '$author' AND
	tax.taxonomy = 'category' )
	ORDER BY terms.name ASC
    ");
?>
<ul class="filters option-set inline clearfix" data-filter-group="type">
    <li class="active" data-filter-value="" class="selected">All</li>
    <?php foreach($categories as $category) : ?>
    <li data-filter-value=".<?php echo $category->name ?>">
        <?php echo $category->name; ?>
    </li>
    <?php endforeach; ?>
</ul>

but qtranslate seems can’t not translate successfully via query database. It can normally display the translate words, Only if I use get_the_category_list, but it list all categories without by special author.

plz help me!